Atkin-Lehner |
2- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58604d |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3654081742648064 = -1 · 28 · 710 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4181,-2911609] |
[a1,a2,a3,a4,a6] |
j |
-268435456/121324931 |
j-invariant |
L |
0.79599995557758 |
L(r)(E,1)/r! |
Ω |
0.19899998933314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372f1 |
Quadratic twists by: -7 |