Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39688g |
Isogeny class |
Conductor |
39688 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
-10160128 = -1 · 211 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- -1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,-154] |
[a1,a2,a3,a4,a6] |
Generators |
[50:37:8] |
Generators of the group modulo torsion |
j |
-594/41 |
j-invariant |
L |
3.7321892792106 |
L(r)(E,1)/r! |
Ω |
1.0083786938678 |
Real period |
R |
3.701178239786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376f1 39688c1 |
Quadratic twists by: -4 -11 |