Atkin-Lehner |
2+ 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568k |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
834769152 = 28 · 38 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13431,-599114] |
[a1,a2,a3,a4,a6] |
j |
1435758069328/4473 |
j-invariant |
L |
1.773913897291 |
L(r)(E,1)/r! |
Ω |
0.44347847820944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35784n1 23856i1 |
Quadratic twists by: -4 -3 |