Atkin-Lehner |
2- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312bi |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26267648 = 212 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-297,-2057] |
[a1,a2,a3,a4,a6] |
j |
709732288/6413 |
j-invariant |
L |
1.150337996491 |
L(r)(E,1)/r! |
Ω |
1.1503379964957 |
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 |
37312y2 18656f1 |
Quadratic twists by: -4 8 |