Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429q |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-754722380072691 = -1 · 37 · 177 · 292 |
Discriminant |
Eigenvalues |
0 3- -3 -2 -3 7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45084,-3914433] |
[a1,a2,a3,a4,a6] |
Generators |
[1139:37714:1] |
Generators of the group modulo torsion |
j |
-575930368/42891 |
j-invariant |
L |
2.8333081101495 |
L(r)(E,1)/r! |
Ω |
0.16312062073584 |
Real period |
R |
0.54279390361707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143m1 4437d1 |
Quadratic twists by: -3 17 |