Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296bg |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5701382674580742912 = -1 · 28 · 311 · 72 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,419577,47484470] |
[a1,a2,a3,a4,a6] |
j |
43771480755468464/30550104351963 |
j-invariant |
L |
3.6470389491136 |
L(r)(E,1)/r! |
Ω |
0.15195995621267 |
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 |
18648bc2 12432g2 |
Quadratic twists by: -4 -3 |