Atkin-Lehner |
3- 7+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
129717c |
Isogeny class |
Conductor |
129717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-10507077 = -1 · 36 · 7 · 29 · 71 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ 0 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-156] |
[a1,a2,a3,a4,a6] |
j |
-1771561/14413 |
j-invariant |
L |
1.9255609130083 |
L(r)(E,1)/r! |
Ω |
0.96278051253677 |
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 |
14413b1 |
Quadratic twists by: -3 |