Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080r |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
33822911010000 = 24 · 3 · 54 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-823851,-287545524] |
[a1,a2,a3,a4,a6] |
j |
3865006923284566902784/2113931938125 |
j-invariant |
L |
1.2677316812286 |
L(r)(E,1)/r! |
Ω |
0.15846646015423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160u1 93240p1 |
Quadratic twists by: -4 -3 |