Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142bb |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
34558898371377408 = 28 · 33 · 74 · 195 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1385227,-627574543] |
[a1,a2,a3,a4,a6] |
Generators |
[-682:569:1] |
Generators of the group modulo torsion |
j |
293958874305485178964273/34558898371377408 |
j-invariant |
L |
10.524119591873 |
L(r)(E,1)/r! |
Ω |
0.13916255051393 |
Real period |
R |
0.63020544158656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426o1 |
Quadratic twists by: -3 |