Atkin-Lehner |
3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84825x |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
140100416015625 = 38 · 59 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66380,-6541378] |
[a1,a2,a3,a4,a6] |
j |
2839760855281/12299625 |
j-invariant |
L |
1.1900463187797 |
L(r)(E,1)/r! |
Ω |
0.29751161534342 |
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 |
28275i1 16965e1 |
Quadratic twists by: -3 5 |