Atkin-Lehner |
2- 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56088i |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1304851491883008 = 211 · 316 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29595,905366] |
[a1,a2,a3,a4,a6] |
j |
1920088579250/873984249 |
j-invariant |
L |
0.86602433875255 |
L(r)(E,1)/r! |
Ω |
0.43301217064085 |
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 |
112176e2 18696b2 |
Quadratic twists by: -4 -3 |