Atkin-Lehner |
2- 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056bb |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-23361765507072 = -1 · 218 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5259,275002] |
[a1,a2,a3,a4,a6] |
j |
-5386984777/7823808 |
j-invariant |
L |
4.8600716504164 |
L(r)(E,1)/r! |
Ω |
0.60750903839454 |
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 |
14382k1 38352q1 |
Quadratic twists by: -4 -3 |