Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630k |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-56962475037486150 = -1 · 2 · 3 · 52 · 1114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59892,10006456] |
[a1,a2,a3,a4,a6] |
j |
13411719834479/32153832150 |
j-invariant |
L |
1.9668988075265 |
L(r)(E,1)/r! |
Ω |
0.24586235094081 |
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 |
29040co5 116160p5 10890bn6 18150bw6 |
Quadratic twists by: -4 8 -3 5 |