Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420a |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-5515036614186359040 = -1 · 28 · 33 · 5 · 11 · 299 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-824343,-309443378] |
[a1,a2,a3,a4,a6] |
Generators |
[43222439:6055877034:2197] |
Generators of the group modulo torsion |
j |
-8962802898762905712/797893028672795 |
j-invariant |
L |
5.0021031655049 |
L(r)(E,1)/r! |
Ω |
0.078821282198732 |
Real period |
R |
10.57688783619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999619 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57420d2 |
Quadratic twists by: -3 |