Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475c |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5630400 |
Modular degree for the optimal curve |
Δ |
-647424581124228075 = -1 · 317 · 52 · 74 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-114586035,-472160414340] |
[a1,a2,a3,a4,a6] |
Generators |
[253315772636351545239124836088:594625433654496111991348408880442:45952929113515155280277] |
Generators of the group modulo torsion |
j |
-2771957867660775809911105/10785915553923 |
j-invariant |
L |
6.3929625255584 |
L(r)(E,1)/r! |
Ω |
0.023072073972341 |
Real period |
R |
46.181099953868 |
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 |
62475cl1 62475cd1 |
Quadratic twists by: 5 -7 |