Atkin-Lehner |
2+ 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330h |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2429568 |
Modular degree for the optimal curve |
Δ |
-3.4917171813887E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8044631,-27038919124] |
[a1,a2,a3,a4,a6] |
j |
57576090764453337163226231/349171718138867220480000 |
j-invariant |
L |
1.7261431415703 |
L(r)(E,1)/r! |
Ω |
0.047948420599176 |
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 |
54990bp1 91650co1 |
Quadratic twists by: -3 5 |