Atkin-Lehner |
2- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8528c |
Isogeny class |
Conductor |
8528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1936277897216 = -1 · 219 · 133 · 412 |
Discriminant |
Eigenvalues |
2- -1 1 1 2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27080,-1707536] |
[a1,a2,a3,a4,a6] |
j |
-536198730680521/472724096 |
j-invariant |
L |
1.4885831009291 |
L(r)(E,1)/r! |
Ω |
0.18607288761614 |
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 |
1066a1 34112p1 76752bu1 110864l1 |
Quadratic twists by: -4 8 -3 13 |