Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1218g |
Isogeny class |
Conductor |
1218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19267071783792 = -1 · 24 · 3 · 712 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4973,162833] |
[a1,a2,a3,a4,a6] |
j |
13601087408654927/19267071783792 |
j-invariant |
L |
3.7149131426955 |
L(r)(E,1)/r! |
Ω |
0.46436414283693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9744k4 38976e3 3654f4 30450k3 |
Quadratic twists by: -4 8 -3 5 |