Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232dp |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-58188380811264 = -1 · 212 · 36 · 117 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2743,363735] |
[a1,a2,a3,a4,a6] |
j |
314432/8019 |
j-invariant |
L |
2.8194786405959 |
L(r)(E,1)/r! |
Ω |
0.46991310676597 |
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 |
23232da2 11616u1 69696go2 2112bb2 |
Quadratic twists by: -4 8 -3 -11 |