Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bs |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-9340157952 = -1 · 215 · 36 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 6 6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8643,-309310] |
[a1,a2,a3,a4,a6] |
j |
-23912763841/3128 |
j-invariant |
L |
4.4562805827868 |
L(r)(E,1)/r! |
Ω |
0.24757114341578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7038i1 6256d1 |
Quadratic twists by: -4 -3 |