Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28420h |
Isogeny class |
Conductor |
28420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1364728400 = 24 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392,2401] |
[a1,a2,a3,a4,a6] |
Generators |
[0:49:1] |
Generators of the group modulo torsion |
j |
3538944/725 |
j-invariant |
L |
5.3040451943832 |
L(r)(E,1)/r! |
Ω |
1.4404836460888 |
Real period |
R |
0.61368800319075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680br1 580a1 |
Quadratic twists by: -4 -7 |