Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696f |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-17408348928 = -1 · 28 · 35 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 6 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9169,-334955] |
[a1,a2,a3,a4,a6] |
j |
-1190106112/243 |
j-invariant |
L |
0.97575276416263 |
L(r)(E,1)/r! |
Ω |
0.24393819104066 |
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 |
25392n1 101568ba1 38088u1 12696c1 |
Quadratic twists by: -4 8 -3 -23 |