Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630z |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4509120 |
Modular degree for the optimal curve |
Δ |
-8385277870501070940 = -1 · 22 · 37 · 5 · 618 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3693170,2735031072] |
[a1,a2,a3,a4,a6] |
j |
-29059152001/43740 |
j-invariant |
L |
9.7596498877127 |
L(r)(E,1)/r! |
Ω |
0.23237261977778 |
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 |
111630m1 |
Quadratic twists by: 61 |