Atkin-Lehner |
2- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12136c |
Isogeny class |
Conductor |
12136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-107062432768 = -1 · 210 · 37 · 414 |
Discriminant |
Eigenvalues |
2- 0 -2 4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,229,15686] |
[a1,a2,a3,a4,a6] |
j |
1296970812/104553157 |
j-invariant |
L |
1.6177832304952 |
L(r)(E,1)/r! |
Ω |
0.80889161524762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24272c3 97088e3 109224d3 |
Quadratic twists by: -4 8 -3 |