Theta-function image conjecture for positive-definite even unimodular forms

Let $Q\colon\mathbb{Z}^d\to\mathbb{Z}$ be positive definite and unimodular, let $b$ be the corresponding even bilinear form, and let $\Theta_Q=\Theta_b$ be its theta function. Let $M_{-d}$ denote integral weakly holomorphic modular forms of weight $-d$. Theta-function image conjecture. The image of $\mathfrak{d}_b\in\pi_{-2d}\operatorname{TMF}$ under the edge homomorphism $\pi_{-2d}\operatorname{TMF}\to M_{-d}$ is $\pm\Delta^{-\frac{d}{8}}\Theta_Q$. This conjecture relates the TMF invariant to the partition function of the associated lattice conformal field theory; resolving it would identify the proposed refinement of the classical theta function.