Atkin-Lehner |
3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429x |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
15891457149 = 38 · 174 · 29 |
Discriminant |
Eigenvalues |
2 3- 1 -3 2 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-867,-7731] |
[a1,a2,a3,a4,a6] |
j |
1183744/261 |
j-invariant |
L |
1.7873037485755 |
L(r)(E,1)/r! |
Ω |
0.8936518919332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143s1 75429l1 |
Quadratic twists by: -3 17 |