Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926bw |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-51631204842 = -1 · 2 · 36 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-524,-11735] |
[a1,a2,a3,a4,a6] |
Generators |
[17610:141125:216] |
Generators of the group modulo torsion |
j |
-185193/602 |
j-invariant |
L |
10.540980122315 |
L(r)(E,1)/r! |
Ω |
0.45965137205478 |
Real period |
R |
5.7331386150297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214c1 5418p1 |
Quadratic twists by: -3 -7 |