Atkin-Lehner |
3- 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575m |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
109828125 = 32 · 56 · 11 · 71 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 11+ -7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-758,7769] |
[a1,a2,a3,a4,a6] |
j |
3086626816/7029 |
j-invariant |
L |
3.7625439349653 |
L(r)(E,1)/r! |
Ω |
1.8812719670047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343b1 |
Quadratic twists by: 5 |