Atkin-Lehner |
47- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117077a |
Isogeny class |
Conductor |
117077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211600 |
Modular degree for the optimal curve |
Δ |
-571298412437 = -1 · 476 · 53 |
Discriminant |
Eigenvalues |
-1 -3 0 -4 0 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,690,-35862] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1051:1] [68:533:1] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
3.9996699046784 |
L(r)(E,1)/r! |
Ω |
0.44943649000278 |
Real period |
R |
4.4496497244716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999921535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53a1 |
Quadratic twists by: -47 |