Atkin-Lehner |
5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109265c |
Isogeny class |
Conductor |
109265 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
12659027802265 = 5 · 13 · 417 |
Discriminant |
Eigenvalues |
1 0 5+ -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92770,-10851249] |
[a1,a2,a3,a4,a6] |
j |
18588565449/2665 |
j-invariant |
L |
0.54711802259296 |
L(r)(E,1)/r! |
Ω |
0.27355911008191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665a1 |
Quadratic twists by: 41 |