Atkin-Lehner |
3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275n |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
50403515625 = 37 · 58 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20817,1161216] |
[a1,a2,a3,a4,a6] |
j |
87587538121/4425 |
j-invariant |
L |
1.0627877059116 |
L(r)(E,1)/r! |
Ω |
1.0627877059116 |
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 |
4425j1 2655e1 |
Quadratic twists by: -3 5 |