Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992j |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
1985760949436416 = 233 · 19 · 233 |
Discriminant |
Eigenvalues |
2- -1 3 -2 3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126864,17301952] |
[a1,a2,a3,a4,a6] |
j |
55129288688387857/484804919296 |
j-invariant |
L |
1.8747207848603 |
L(r)(E,1)/r! |
Ω |
0.46868019621507 |
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 |
874f1 27968bt1 62928be1 |
Quadratic twists by: -4 8 -3 |