Atkin-Lehner |
2+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
31328b |
Isogeny class |
Conductor |
31328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-44611072 = -1 · 29 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,-88] |
[a1,a2,a3,a4,a6] |
j |
145531576/87131 |
j-invariant |
L |
2.3592563222935 |
L(r)(E,1)/r! |
Ω |
1.1796281611468 |
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 |
31328f2 62656v2 |
Quadratic twists by: -4 8 |