Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cs |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-115557580800 = -1 · 214 · 38 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-203768,35336148] |
[a1,a2,a3,a4,a6] |
Generators |
[262:48:1] |
Generators of the group modulo torsion |
j |
-9137635610327905/1128492 |
j-invariant |
L |
8.2748299019719 |
L(r)(E,1)/r! |
Ω |
0.81592811321725 |
Real period |
R |
0.31692551126209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450d1 51600cn1 |
Quadratic twists by: -4 5 |