Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418br |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-770592479272 = -1 · 23 · 710 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4852,134749] |
[a1,a2,a3,a4,a6] |
Generators |
[302:523:8] |
Generators of the group modulo torsion |
j |
-44720977/2728 |
j-invariant |
L |
13.628815640084 |
L(r)(E,1)/r! |
Ω |
0.88437919286041 |
Real period |
R |
5.1368672887941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418bb1 |
Quadratic twists by: -7 |