Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926cc |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-682311741632333568 = -1 · 28 · 36 · 711 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,53278,-39472415] |
[a1,a2,a3,a4,a6] |
Generators |
[2557:-130933:1] |
Generators of the group modulo torsion |
j |
195011097399/7955492608 |
j-invariant |
L |
6.2112827141315 |
L(r)(E,1)/r! |
Ω |
0.13766518701152 |
Real period |
R |
1.4099612910875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4214a1 5418s1 |
Quadratic twists by: -3 -7 |