Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400p |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
11127456000 = 28 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-2950] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:54:1] |
Generators of the group modulo torsion |
j |
1102736/477 |
j-invariant |
L |
6.4588011492602 |
L(r)(E,1)/r! |
Ω |
0.99714458372842 |
Real period |
R |
1.6193241340949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800v1 95400bk1 |
Quadratic twists by: -3 5 |