Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800de |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
16460236800 = 211 · 38 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4328,107988] |
[a1,a2,a3,a4,a6] |
Generators |
[34:36:1] |
Generators of the group modulo torsion |
j |
3574536770/6561 |
j-invariant |
L |
7.0291685033831 |
L(r)(E,1)/r! |
Ω |
1.2373318093687 |
Real period |
R |
0.17752838330741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400i1 58800ce1 58800h1 |
Quadratic twists by: -4 5 -7 |