Atkin-Lehner |
7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12397k |
Isogeny class |
Conductor |
12397 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
86779 = 73 · 11 · 23 |
Discriminant |
Eigenvalues |
1 1 1 7- 11- -7 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-240868,45480355] |
[a1,a2,a3,a4,a6] |
j |
4505721246665691247/253 |
j-invariant |
L |
2.5667961608696 |
L(r)(E,1)/r! |
Ω |
1.2833980804348 |
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 |
111573u1 12397l1 |
Quadratic twists by: -3 -7 |