Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32208o |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
199172210688 = 214 · 33 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8992,-330508] |
[a1,a2,a3,a4,a6] |
j |
19632741836833/48626028 |
j-invariant |
L |
2.9420316896519 |
L(r)(E,1)/r! |
Ω |
0.49033861494273 |
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 |
4026h2 128832bg2 96624bs2 |
Quadratic twists by: -4 8 -3 |