Atkin-Lehner |
2+ 3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630p |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
483892181218608750 = 2 · 312 · 54 · 7 · 1014 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-537705,148160551] |
[a1,a2,a3,a4,a6] |
Generators |
[42460461:-2477758543:12167] |
Generators of the group modulo torsion |
j |
23584618894447432081/663775282878750 |
j-invariant |
L |
4.8291473254878 |
L(r)(E,1)/r! |
Ω |
0.29392109509802 |
Real period |
R |
8.2150403732481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210z4 |
Quadratic twists by: -3 |