Atkin-Lehner |
5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105485b |
Isogeny class |
Conductor |
105485 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3877632 |
Modular degree for the optimal curve |
Δ |
1.0447844138011E+21 |
Discriminant |
Eigenvalues |
0 1 5+ 0 0 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18676721,31021808776] |
[a1,a2,a3,a4,a6] |
j |
29849159085774340096/43284574921405 |
j-invariant |
L |
0.31077889589535 |
L(r)(E,1)/r! |
Ω |
0.15538954490934 |
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 |
6205c1 |
Quadratic twists by: 17 |