Atkin-Lehner |
89+ |
Signs for the Atkin-Lehner involutions |
Class |
7921b |
Isogeny class |
Conductor |
7921 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-44231334895529 = -1 · 897 |
Discriminant |
Eigenvalues |
-1 1 -1 4 -2 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8086,424429] |
[a1,a2,a3,a4,a6] |
Generators |
[3135:26156:27] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
3.1654003716418 |
L(r)(E,1)/r! |
Ω |
0.58857723869184 |
Real period |
R |
2.6890271688701 |
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 |
126736f1 71289c1 89a1 |
Quadratic twists by: -4 -3 89 |