Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050i |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
4006800 |
Modular degree for the optimal curve |
Δ |
4.3936791121563E+19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 4 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3068242,-2043131084] |
[a1,a2,a3,a4,a6] |
j |
56742473025/780448 |
j-invariant |
L |
1.0274985564667 |
L(r)(E,1)/r! |
Ω |
0.11416650601893 |
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 |
71050cg1 71050y1 |
Quadratic twists by: 5 -7 |