Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58824j |
Isogeny class |
Conductor |
58824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
12350216448 = 28 · 310 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2559,49538] |
[a1,a2,a3,a4,a6] |
j |
9930407632/66177 |
j-invariant |
L |
5.0931538349826 |
L(r)(E,1)/r! |
Ω |
1.2732884596994 |
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 |
117648c1 19608b1 |
Quadratic twists by: -4 -3 |