Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232n |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4189563418411008 = 215 · 38 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69857,6411297] |
[a1,a2,a3,a4,a6] |
j |
649461896/72171 |
j-invariant |
L |
0.84882182753275 |
L(r)(E,1)/r! |
Ω |
0.42441091376636 |
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 |
23232bx4 11616m3 69696cr4 2112f3 |
Quadratic twists by: -4 8 -3 -11 |