Atkin-Lehner |
3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575c |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
1076425453125 = 36 · 56 · 113 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11- -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2683,-18357] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:-149:1] [-27:183:1] |
Generators of the group modulo torsion |
j |
136750071808/68891229 |
j-invariant |
L |
7.3051409153132 |
L(r)(E,1)/r! |
Ω |
0.69933264320865 |
Real period |
R |
1.7409790572611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343g1 |
Quadratic twists by: 5 |