Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
18540d |
Isogeny class |
Conductor |
18540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
90104400 = 24 · 37 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,-10591] |
[a1,a2,a3,a4,a6] |
j |
7192182784/7725 |
j-invariant |
L |
2.6064542537093 |
L(r)(E,1)/r! |
Ω |
0.86881808456976 |
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 |
74160bt1 6180a1 92700m1 |
Quadratic twists by: -4 -3 5 |