Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112p |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-926197314581799936 = -1 · 210 · 38 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-923472,-345005244] |
[a1,a2,a3,a4,a6] |
j |
-616966948/6561 |
j-invariant |
L |
1.2312842141556 |
L(r)(E,1)/r! |
Ω |
0.076955263384725 |
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 |
4056n1 32448cn1 24336n1 8112o1 |
Quadratic twists by: -4 8 -3 13 |