Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840do |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
5320558510080000 = 228 · 3 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49200,-2324652] |
[a1,a2,a3,a4,a6] |
j |
3215643533722801/1298964480000 |
j-invariant |
L |
2.6561520642238 |
L(r)(E,1)/r! |
Ω |
0.33201901290327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230z1 |
Quadratic twists by: -4 |