Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575g |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-198160140234375 = -1 · 310 · 58 · 112 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5650,694375] |
[a1,a2,a3,a4,a6] |
Generators |
[86:881:1] |
Generators of the group modulo torsion |
j |
-1276935990049/12682248975 |
j-invariant |
L |
7.4096486561207 |
L(r)(E,1)/r! |
Ω |
0.48207613380328 |
Real period |
R |
3.842571814151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715g1 |
Quadratic twists by: 5 |