Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40328b |
Isogeny class |
Conductor |
40328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
408960 |
Modular degree for the optimal curve |
Δ |
-661251615995659264 = -1 · 210 · 718 |
Discriminant |
Eigenvalues |
2+ 2 -1 2 2 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,119304,-35804356] |
[a1,a2,a3,a4,a6] |
j |
284 |
j-invariant |
L |
4.6836056600397 |
L(r)(E,1)/r! |
Ω |
0.14636267688063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80656c1 40328c1 |
Quadratic twists by: -4 -71 |