Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630c |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11419200 |
Modular degree for the optimal curve |
Δ |
-9.8612524108277E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34903057,80778327061] |
[a1,a2,a3,a4,a6] |
j |
-6591978481/138240 |
j-invariant |
L |
0.85209150490964 |
L(r)(E,1)/r! |
Ω |
0.10651142441358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630q1 |
Quadratic twists by: 61 |