Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938q |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-46730333584 = -1 · 24 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 2 3 2 11- -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,861,4049] |
[a1,a2,a3,a4,a6] |
Generators |
[2145:18332:125] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
18.275166468027 |
L(r)(E,1)/r! |
Ω |
0.71081984849825 |
Real period |
R |
6.427495837031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938g1 242a1 |
Quadratic twists by: -11 17 |