Atkin-Lehner |
2- 3- 37+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
18426f |
Isogeny class |
Conductor |
18426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5312 |
Modular degree for the optimal curve |
Δ |
-7075584 = -1 · 28 · 32 · 37 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48,0] |
[a1,a2,a3,a4,a6] |
j |
12214672127/7075584 |
j-invariant |
L |
5.6121658479448 |
L(r)(E,1)/r! |
Ω |
1.4030414619862 |
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 |
55278a1 |
Quadratic twists by: -3 |