Atkin-Lehner |
2- 3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330be |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
-171843750 = -1 · 2 · 32 · 56 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-755,-8073] |
[a1,a2,a3,a4,a6] |
j |
-47599294745521/171843750 |
j-invariant |
L |
5.4634530038113 |
L(r)(E,1)/r! |
Ω |
0.45528775031761 |
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 |
54990h1 91650p1 |
Quadratic twists by: -3 5 |