Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696r |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2018359296 = 211 · 34 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-912,10080] |
[a1,a2,a3,a4,a6] |
j |
3370318/81 |
j-invariant |
L |
2.9402634476466 |
L(r)(E,1)/r! |
Ω |
1.4701317238233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25392b2 101568o2 38088o2 12696t2 |
Quadratic twists by: -4 8 -3 -23 |