Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018br |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
42478984548 = 22 · 39 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22640,-1305457] |
[a1,a2,a3,a4,a6] |
j |
1760384222493625/58270212 |
j-invariant |
L |
4.6705073116152 |
L(r)(E,1)/r! |
Ω |
0.3892089426346 |
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 |
6006p1 126126fo1 |
Quadratic twists by: -3 -7 |