Atkin-Lehner |
2+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1558a |
Isogeny class |
Conductor |
1558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
22410841554944 = 222 · 194 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110633,-14134195] |
[a1,a2,a3,a4,a6] |
j |
149754536662333268457/22410841554944 |
j-invariant |
L |
0.52355473773742 |
L(r)(E,1)/r! |
Ω |
0.26177736886871 |
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 |
12464b1 49856a1 14022j1 38950s1 |
Quadratic twists by: -4 8 -3 5 |