Atkin-Lehner |
2- 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48852c |
Isogeny class |
Conductor |
48852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
183168 |
Modular degree for the optimal curve |
Δ |
6132110096075472 = 24 · 324 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63120,-4802227] |
[a1,a2,a3,a4,a6] |
j |
2384389341184000/525729603573 |
j-invariant |
L |
0.30593661232279 |
L(r)(E,1)/r! |
Ω |
0.3059366123854 |
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 |
16284a1 |
Quadratic twists by: -3 |