Badness-level conjecture for Calabi–Yau modular forms

Let $X$ be a $d$-dimensional Calabi–Yau variety whose associated modular form has weight $d+1$ on some $\Gamma_0(N)$, and write the level as

$$N=\prod_{p\;\mathrm{bad}}p^{\alpha_p},$$

where the product is over primes of bad reduction. Badness-level conjecture. The exponent $\alpha_p$ increases with the badness of the singularity at the bad prime $p$. This is described as a folklore conjecture motivated by the computed examples; the source gives no general proof or resolution.