Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698m |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
59873007769872 = 24 · 3 · 119 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42232,-3323146] |
[a1,a2,a3,a4,a6] |
j |
3532642667/25392 |
j-invariant |
L |
0.6663593960194 |
L(r)(E,1)/r! |
Ω |
0.3331796980097 |
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 |
50094bt1 16698bi1 |
Quadratic twists by: -3 -11 |