Atkin-Lehner |
3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065d |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
888917085 = 38 · 5 · 73 · 79 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -5 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1556,24107] |
[a1,a2,a3,a4,a6] |
Generators |
[250:563:8] |
Generators of the group modulo torsion |
j |
1215450984448/2591595 |
j-invariant |
L |
8.1433245266209 |
L(r)(E,1)/r! |
Ω |
1.5797385334597 |
Real period |
R |
1.2887139792755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58065v1 |
Quadratic twists by: -7 |