Atkin-Lehner |
2- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8528d |
Isogeny class |
Conductor |
8528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-6044965142528 = -1 · 226 · 133 · 41 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2744,-129680] |
[a1,a2,a3,a4,a6] |
j |
-558051585337/1475821568 |
j-invariant |
L |
0.61298255919511 |
L(r)(E,1)/r! |
Ω |
0.30649127959756 |
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 |
1066b1 34112q1 76752bx1 110864m1 |
Quadratic twists by: -4 8 -3 13 |