Atkin-Lehner |
3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265k |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-8145943019930925 = -1 · 316 · 52 · 115 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 11+ -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34470,5001021] |
[a1,a2,a3,a4,a6] |
j |
-6213368639092321/11174133086325 |
j-invariant |
L |
1.4817553650288 |
L(r)(E,1)/r! |
Ω |
0.37043884125719 |
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 |
7755i1 116325v1 |
Quadratic twists by: -3 5 |