Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52142j |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
84282433084 = 22 · 294 · 313 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1700,-23210] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:73:1] |
Generators of the group modulo torsion |
j |
767557993/119164 |
j-invariant |
L |
1.2559657828129 |
L(r)(E,1)/r! |
Ω |
0.75133304637246 |
Real period |
R |
0.8358249306511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52142n1 |
Quadratic twists by: 29 |