Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504cg |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
15745024 = 214 · 312 |
Discriminant |
Eigenvalues |
2- -3 -3 -3 -5 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,496] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-16:1] [-11:23:1] [-6:32:1] |
Generators of the group modulo torsion |
j |
13392 |
j-invariant |
L |
6.929312468018 |
L(r)(E,1)/r! |
Ω |
2.16055640885 |
Real period |
R |
0.80179721756333 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bd1 15376q1 61504bk1 |
Quadratic twists by: -4 8 -31 |