Atkin-Lehner |
2+ 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
117056c |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-213632646381568 = -1 · 225 · 31 · 593 |
Discriminant |
Eigenvalues |
2+ 0 -4 0 0 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13292,-917840] |
[a1,a2,a3,a4,a6] |
j |
-990728800209/814943872 |
j-invariant |
L |
1.2888466469484 |
L(r)(E,1)/r! |
Ω |
0.21480754866177 |
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 |
117056p1 3658b1 |
Quadratic twists by: -4 8 |