Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232bk |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
115897844908032 = 214 · 3 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83409,9229647] |
[a1,a2,a3,a4,a6] |
j |
1661168/3 |
j-invariant |
L |
1.182566474599 |
L(r)(E,1)/r! |
Ω |
0.59128323729951 |
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 |
23232cp2 2904h2 69696bc2 23232bj2 |
Quadratic twists by: -4 8 -3 -11 |