Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568bc |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-160275677184 = -1 · 214 · 39 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 3 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1269,-8262] |
[a1,a2,a3,a4,a6] |
j |
2803221/1988 |
j-invariant |
L |
4.6110349279777 |
L(r)(E,1)/r! |
Ω |
0.57637936216884 |
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 |
8946n1 71568z1 |
Quadratic twists by: -4 -3 |