Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152s |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
6124732416 = 220 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-472,-1040] |
[a1,a2,a3,a4,a6] |
j |
2845178713/1495296 |
j-invariant |
L |
2.1717910451982 |
L(r)(E,1)/r! |
Ω |
1.0858955225991 |
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 |
3894d1 124608cz1 93456bc1 |
Quadratic twists by: -4 8 -3 |