Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54665c |
Isogeny class |
Conductor |
54665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
38663515865 = 5 · 13 · 296 |
Discriminant |
Eigenvalues |
1 2 5+ -4 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,1703] |
[a1,a2,a3,a4,a6] |
Generators |
[2082:16067:27] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
6.6843078000745 |
L(r)(E,1)/r! |
Ω |
0.99957079557535 |
Real period |
R |
6.6871779662922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65a1 |
Quadratic twists by: 29 |