Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696q |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
20919247546368 = 211 · 3 · 237 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1557552,-748709472] |
[a1,a2,a3,a4,a6] |
j |
1378334691074/69 |
j-invariant |
L |
4.3245295831296 |
L(r)(E,1)/r! |
Ω |
0.1351415494728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25392c4 101568n4 38088n4 552e4 |
Quadratic twists by: -4 8 -3 -23 |