Atkin-Lehner |
2+ 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330l |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
1844286090117120 = 218 · 311 · 5 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-865064,-309750154] |
[a1,a2,a3,a4,a6] |
j |
71592529574416853286649/1844286090117120 |
j-invariant |
L |
1.7219911356592 |
L(r)(E,1)/r! |
Ω |
0.15654464869629 |
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 |
54990bq1 91650bx1 |
Quadratic twists by: -3 5 |