Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429n |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
6109749 = 36 · 172 · 29 |
Discriminant |
Eigenvalues |
0 3- 1 -1 -2 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-102,378] |
[a1,a2,a3,a4,a6] |
Generators |
[2:13:1] |
Generators of the group modulo torsion |
j |
557056/29 |
j-invariant |
L |
4.7966039831039 |
L(r)(E,1)/r! |
Ω |
2.3562384026076 |
Real period |
R |
1.0178520089174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8381a1 75429v1 |
Quadratic twists by: -3 17 |