Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3654q |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2225286 = -1 · 2 · 33 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19,-69] |
[a1,a2,a3,a4,a6] |
j |
29503629/82418 |
j-invariant |
L |
2.6694992189226 |
L(r)(E,1)/r! |
Ω |
1.3347496094613 |
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 |
29232t2 116928n2 3654c2 91350g2 |
Quadratic twists by: -4 8 -3 5 |