Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429t |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-124026044458612221 = -1 · 36 · 178 · 293 |
Discriminant |
Eigenvalues |
1 3- 1 2 3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147444,-27566983] |
[a1,a2,a3,a4,a6] |
Generators |
[14560812584:86324979649:30664297] |
Generators of the group modulo torsion |
j |
-20145851361/7048421 |
j-invariant |
L |
9.321422497063 |
L(r)(E,1)/r! |
Ω |
0.11970960170116 |
Real period |
R |
12.977826290455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8381b1 4437e1 |
Quadratic twists by: -3 17 |