Atkin-Lehner |
2- 3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350by |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
158742937856250000 = 24 · 35 · 58 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142313,7657031] |
[a1,a2,a3,a4,a6] |
j |
20400349049336521/10159548022800 |
j-invariant |
L |
3.4420986173905 |
L(r)(E,1)/r! |
Ω |
0.28684155764522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470r1 |
Quadratic twists by: 5 |