Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496s |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-9297496658128896 = -1 · 212 · 321 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-436152,-110964688] |
[a1,a2,a3,a4,a6] |
j |
-3072909999983104/3113712819 |
j-invariant |
L |
2.9722386924742 |
L(r)(E,1)/r! |
Ω |
0.09288245914027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496g1 124992gs1 20832bb1 |
Quadratic twists by: -4 8 -3 |