Atkin-Lehner |
2+ 3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630w |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
158331801600 = 212 · 37 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10134,394740] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-3:1] |
Generators of the group modulo torsion |
j |
157893041079649/217190400 |
j-invariant |
L |
5.0244250355933 |
L(r)(E,1)/r! |
Ω |
1.0221190464526 |
Real period |
R |
2.4578472798652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210ba1 |
Quadratic twists by: -3 |