Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050t |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2517120 |
Modular degree for the optimal curve |
Δ |
1.7744265728E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -6 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1405742,-27831084] |
[a1,a2,a3,a4,a6] |
Generators |
[3035:152284:1] |
Generators of the group modulo torsion |
j |
642014186094225/370818940928 |
j-invariant |
L |
3.4239454673136 |
L(r)(E,1)/r! |
Ω |
0.15143582463409 |
Real period |
R |
5.6524694140231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050cl1 71050f1 |
Quadratic twists by: 5 -7 |