Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680n |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
179091307233280 = 222 · 5 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 2 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41068,3137968] |
[a1,a2,a3,a4,a6] |
Generators |
[198:-1664:1] |
Generators of the group modulo torsion |
j |
29220958012401/683179120 |
j-invariant |
L |
4.4420108703319 |
L(r)(E,1)/r! |
Ω |
0.56904668815536 |
Real period |
R |
0.39030284745487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bl1 2990i1 |
Quadratic twists by: -4 8 |