Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bz |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-787532106651997707 = -1 · 39 · 73 · 11 · 139 |
Discriminant |
Eigenvalues |
-2 3- 4 7- 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,66417,42185146] |
[a1,a2,a3,a4,a6] |
j |
9208180736/223810587 |
j-invariant |
L |
2.5497989302572 |
L(r)(E,1)/r! |
Ω |
0.2124831888666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39039m1 9009f1 |
Quadratic twists by: -3 13 |