Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850ca |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12779520 |
Modular degree for the optimal curve |
Δ |
-4.0505131755E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17819208,9965111616] |
[a1,a2,a3,a4,a6] |
j |
54934014267405745991/35560060800000000 |
j-invariant |
L |
2.3648056373385 |
L(r)(E,1)/r! |
Ω |
0.059120153149519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950cp1 22770bv1 |
Quadratic twists by: -3 5 |