Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976br |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1968790634496 = 216 · 36 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3137,3135] |
[a1,a2,a3,a4,a6] |
j |
52110563908/30041361 |
j-invariant |
L |
4.2396423077097 |
L(r)(E,1)/r! |
Ω |
0.70660705128643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38976k2 9744a2 116928dn2 |
Quadratic twists by: -4 8 -3 |