Atkin-Lehner |
2- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
129514k |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
-357216467470016 = -1 · 26 · 72 · 115 · 294 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2926,908511] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:425:1] [-274:7151:8] |
Generators of the group modulo torsion |
j |
3916926383/505055936 |
j-invariant |
L |
12.852150723396 |
L(r)(E,1)/r! |
Ω |
0.41372674442757 |
Real period |
R |
0.17257969987821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129514a1 |
Quadratic twists by: 29 |