Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600w |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
11995620000000 = 28 · 3 · 57 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6508,-116512] |
[a1,a2,a3,a4,a6] |
Generators |
[-564:2800:27] |
Generators of the group modulo torsion |
j |
7622072656/2998905 |
j-invariant |
L |
8.3677439155432 |
L(r)(E,1)/r! |
Ω |
0.54975423151117 |
Real period |
R |
3.8052203311558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200a1 10920m1 |
Quadratic twists by: -4 5 |