Atkin-Lehner |
2+ 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616i |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
6658560 |
Modular degree for the optimal curve |
Δ |
-5.345881041579E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9394817,11625315807] |
[a1,a2,a3,a4,a6] |
j |
-349823363639236564897/20392917791668128 |
j-invariant |
L |
4.5538108649827 |
L(r)(E,1)/r! |
Ω |
0.13393562005775 |
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 |
119616v1 3738b1 |
Quadratic twists by: -4 8 |