Atkin-Lehner |
2+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
18128a |
Isogeny class |
Conductor |
18128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-29874944 = -1 · 28 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 -1 0 11- -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-841,-9677] |
[a1,a2,a3,a4,a6] |
j |
-257269341184/116699 |
j-invariant |
L |
0.88643258901983 |
L(r)(E,1)/r! |
Ω |
0.44321629450991 |
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 |
9064a1 72512p1 |
Quadratic twists by: -4 8 |