Atkin-Lehner |
5+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
65975i |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95616 |
Modular degree for the optimal curve |
Δ |
-206171875 = -1 · 57 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 3 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14075,-642719] |
[a1,a2,a3,a4,a6] |
Generators |
[538737208898693630:8885308024067977509:1673207161642232] |
Generators of the group modulo torsion |
j |
-19735534669824/13195 |
j-invariant |
L |
12.153163377164 |
L(r)(E,1)/r! |
Ω |
0.21915805663512 |
Real period |
R |
27.726937270204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13195f1 |
Quadratic twists by: 5 |