Atkin-Lehner |
2- 3- 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74124d |
Isogeny class |
Conductor |
74124 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
480384 |
Modular degree for the optimal curve |
Δ |
7228944650970576 = 24 · 36 · 293 · 714 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58044,-3498235] |
[a1,a2,a3,a4,a6] |
Generators |
[-11260:72065:64] |
Generators of the group modulo torsion |
j |
1854164242481152/619765487909 |
j-invariant |
L |
5.373127745096 |
L(r)(E,1)/r! |
Ω |
0.31585534741168 |
Real period |
R |
2.8352259918365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8236a1 |
Quadratic twists by: -3 |