Atkin-Lehner |
3- 5- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755j |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
263775266015625 = 39 · 58 · 7 · 132 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-175554,28344735] |
[a1,a2,a3,a4,a6] |
j |
820785665783105569/361831640625 |
j-invariant |
L |
4.3459964495033 |
L(r)(E,1)/r! |
Ω |
0.54324946519945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585i1 |
Quadratic twists by: -3 |