Atkin-Lehner |
2+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312l |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1425597792256 = 222 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4684,-109200] |
[a1,a2,a3,a4,a6] |
j |
43354526697/5438224 |
j-invariant |
L |
0.58184809350662 |
L(r)(E,1)/r! |
Ω |
0.58184809349151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37312s2 1166b2 |
Quadratic twists by: -4 8 |