Atkin-Lehner |
2+ 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330j |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-22399260 = -1 · 22 · 3 · 5 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21,226] |
[a1,a2,a3,a4,a6] |
Generators |
[4:17:1] |
Generators of the group modulo torsion |
j |
1095912791/22399260 |
j-invariant |
L |
3.5784223998047 |
L(r)(E,1)/r! |
Ω |
1.6018992262375 |
Real period |
R |
1.1169311843073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990bt1 91650cf1 |
Quadratic twists by: -3 5 |