Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
59808j |
Isogeny class |
Conductor |
59808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
48128 |
Modular degree for the optimal curve |
Δ |
98590976064 = 26 · 34 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2934,-60264] |
[a1,a2,a3,a4,a6] |
j |
43658828648128/1540484001 |
j-invariant |
L |
1.3001482521688 |
L(r)(E,1)/r! |
Ω |
0.65007412640436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59808h1 119616s2 |
Quadratic twists by: -4 8 |