Atkin-Lehner |
2+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
129514c |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1252800 |
Modular degree for the optimal curve |
Δ |
-276104004184042496 = -1 · 210 · 72 · 11 · 298 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100097,28057780] |
[a1,a2,a3,a4,a6] |
Generators |
[70:4590:1] |
Generators of the group modulo torsion |
j |
-221715817/551936 |
j-invariant |
L |
5.3381297145895 |
L(r)(E,1)/r! |
Ω |
0.27343138032296 |
Real period |
R |
1.6268950184239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998281258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129514g1 |
Quadratic twists by: 29 |