Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256x |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
243387449838314496 = 210 · 38 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157179,-3447290] |
[a1,a2,a3,a4,a6] |
j |
324730948/184041 |
j-invariant |
L |
4.139611758432 |
L(r)(E,1)/r! |
Ω |
0.25872576366518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37752x2 10296j2 |
Quadratic twists by: -3 -11 |