Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52142s |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1052352 |
Modular degree for the optimal curve |
Δ |
1728729543068453516 = 22 · 299 · 313 |
Discriminant |
Eigenvalues |
2- -2 -1 4 -2 4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-478126,-110453448] |
[a1,a2,a3,a4,a6] |
j |
833237621/119164 |
j-invariant |
L |
2.1994500226696 |
L(r)(E,1)/r! |
Ω |
0.18328750207336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52142f1 |
Quadratic twists by: 29 |