Atkin-Lehner |
3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9999g |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
2405218884057 = 311 · 113 · 1012 |
Discriminant |
Eigenvalues |
-1 3- -2 4 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60341,5719700] |
[a1,a2,a3,a4,a6] |
j |
33329357828245513/3299340033 |
j-invariant |
L |
0.78190562794509 |
L(r)(E,1)/r! |
Ω |
0.78190562794509 |
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 |
3333f1 109989p1 |
Quadratic twists by: -3 -11 |