Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
75615h |
Isogeny class |
Conductor |
75615 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1717632 |
Modular degree for the optimal curve |
Δ |
6189547596990619185 = 33 · 5 · 719 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-887321,298542720] |
[a1,a2,a3,a4,a6] |
Generators |
[911471:-5097295:1331] |
Generators of the group modulo torsion |
j |
1685159/135 |
j-invariant |
L |
3.6999876245534 |
L(r)(E,1)/r! |
Ω |
0.23313320812237 |
Real period |
R |
10.580467857863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75615g1 |
Quadratic twists by: -71 |