Atkin-Lehner |
2+ 3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630h |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1704305777832000 = 26 · 316 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110160,13959616] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:30643:8] |
Generators of the group modulo torsion |
j |
202801042496021761/2337868008000 |
j-invariant |
L |
4.3642293103243 |
L(r)(E,1)/r! |
Ω |
0.47421443233083 |
Real period |
R |
2.3007678660603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210u1 |
Quadratic twists by: -3 |