Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232dx |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2793042278940672 = 216 · 37 · 117 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3879905,-2942866401] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
1.5059908017641 |
L(r)(E,1)/r! |
Ω |
0.10757077155459 |
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 |
23232be1 5808g1 69696hb1 2112z1 |
Quadratic twists by: -4 8 -3 -11 |