Atkin-Lehner |
2- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
58960k |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
-78475760 = -1 · 24 · 5 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,107,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[10458:48763:729] |
Generators of the group modulo torsion |
j |
8467497216/4904735 |
j-invariant |
L |
11.561919757737 |
L(r)(E,1)/r! |
Ω |
1.1482382053058 |
Real period |
R |
5.0346346708203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14740c1 |
Quadratic twists by: -4 |