Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696d |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4330284242098176 = 211 · 33 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-605352,181458540] |
[a1,a2,a3,a4,a6] |
j |
80919167474/14283 |
j-invariant |
L |
1.6943608603103 |
L(r)(E,1)/r! |
Ω |
0.42359021507757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25392k2 101568bn2 38088y2 552a2 |
Quadratic twists by: -4 8 -3 -23 |