Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1218g |
Isogeny class |
Conductor |
1218 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
1955659776 = 216 · 3 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-707,-6975] |
[a1,a2,a3,a4,a6] |
j |
39085920587953/1955659776 |
j-invariant |
L |
3.7149131426955 |
L(r)(E,1)/r! |
Ω |
0.92872828567386 |
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 |
9744k1 38976e1 3654f1 30450k1 |
Quadratic twists by: -4 8 -3 5 |