Atkin-Lehner |
5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62465h |
Isogeny class |
Conductor |
62465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
57687739265 = 5 · 13 · 316 |
Discriminant |
Eigenvalues |
-1 2 5+ -4 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-981,-2926] |
[a1,a2,a3,a4,a6] |
Generators |
[2442:20675:27] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
3.1316760710612 |
L(r)(E,1)/r! |
Ω |
0.91330317857461 |
Real period |
R |
6.8579112487028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65a1 |
Quadratic twists by: -31 |