Atkin-Lehner |
2- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6958j |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
681884 = 22 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-769,-8011] |
[a1,a2,a3,a4,a6] |
j |
20920931073/284 |
j-invariant |
L |
1.8133951479358 |
L(r)(E,1)/r! |
Ω |
0.90669757396789 |
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 |
55664f1 62622m1 6958l1 |
Quadratic twists by: -4 -3 -7 |