Atkin-Lehner |
5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29435b |
Isogeny class |
Conductor |
29435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129920 |
Modular degree for the optimal curve |
Δ |
-507750109155415 = -1 · 5 · 7 · 299 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -6 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9654,-1020005] |
[a1,a2,a3,a4,a6] |
j |
6859/35 |
j-invariant |
L |
0.52545969365623 |
L(r)(E,1)/r! |
Ω |
0.26272984682825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29435a1 |
Quadratic twists by: 29 |