Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9968g |
Isogeny class |
Conductor |
9968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-71450624 = -1 · 214 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 6 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[2:14:1] |
Generators of the group modulo torsion |
j |
30080231/17444 |
j-invariant |
L |
3.460224715743 |
L(r)(E,1)/r! |
Ω |
1.1689518969569 |
Real period |
R |
0.74002718263065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1246d1 39872y1 89712o1 69776i1 |
Quadratic twists by: -4 8 -3 -7 |