Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976h |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1946799439872 = -1 · 217 · 3 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2463,47073] |
[a1,a2,a3,a4,a6] |
j |
12601744846/14852901 |
j-invariant |
L |
2.2191508419703 |
L(r)(E,1)/r! |
Ω |
0.55478771049594 |
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 |
38976ca3 4872f4 116928bc3 |
Quadratic twists by: -4 8 -3 |