Atkin-Lehner |
3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837l |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
8091910396791440037 = 328 · 7 · 133 · 23 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 5 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-502815,10088928] |
[a1,a2,a3,a4,a6] |
j |
19285053992837632000/11100014261716653 |
j-invariant |
L |
1.1935279683916 |
L(r)(E,1)/r! |
Ω |
0.19892132806527 |
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 |
6279k1 |
Quadratic twists by: -3 |