Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728dy |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
435102327862272 = 210 · 314 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115533,-15120189] |
[a1,a2,a3,a4,a6] |
Generators |
[486:6615:1] |
Generators of the group modulo torsion |
j |
166550394784000000/424904617053 |
j-invariant |
L |
7.2164407746254 |
L(r)(E,1)/r! |
Ω |
0.25899376850311 |
Real period |
R |
1.9902411486953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728n1 12432c1 |
Quadratic twists by: -4 8 |