Atkin-Lehner |
2+ 3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630n |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
244209577467985920 = 214 · 310 · 5 · 72 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-941715,-350704715] |
[a1,a2,a3,a4,a6] |
Generators |
[45926:9816845:1] |
Generators of the group modulo torsion |
j |
126693667292208110641/334992561684480 |
j-invariant |
L |
4.428153642382 |
L(r)(E,1)/r! |
Ω |
0.15328112389809 |
Real period |
R |
7.2222748788082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210y1 |
Quadratic twists by: -3 |