Atkin-Lehner |
3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275m |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2351626425 = -1 · 313 · 52 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1107,-14094] |
[a1,a2,a3,a4,a6] |
j |
-8236063705/129033 |
j-invariant |
L |
1.6537505630625 |
L(r)(E,1)/r! |
Ω |
0.41343764076562 |
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 |
4425i1 13275x1 |
Quadratic twists by: -3 5 |