Atkin-Lehner |
5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18275a |
Isogeny class |
Conductor |
18275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
6561159887890625 = 58 · 173 · 434 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48563,-1338008] |
[a1,a2,a3,a4,a6] |
j |
810626445596521/419914232825 |
j-invariant |
L |
0.68057763070908 |
L(r)(E,1)/r! |
Ω |
0.34028881535454 |
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 |
3655a1 |
Quadratic twists by: 5 |