Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805u |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
229504600125 = 38 · 53 · 234 |
Discriminant |
Eigenvalues |
2 3- 5- -2 5 0 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1587,-7803] |
[a1,a2,a3,a4,a6] |
j |
2166784/1125 |
j-invariant |
L |
4.8036620083713 |
L(r)(E,1)/r! |
Ω |
0.80061033472855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7935g1 119025bv1 23805o1 |
Quadratic twists by: -3 5 -23 |