Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bo |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-302799130066944 = -1 · 217 · 315 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88563,-10178894] |
[a1,a2,a3,a4,a6] |
j |
-25727239787761/101406816 |
j-invariant |
L |
0.55336796847273 |
L(r)(E,1)/r! |
Ω |
0.13834199211821 |
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 |
2898g1 92736ej1 7728o1 |
Quadratic twists by: -4 8 -3 |