Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18620j |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
3397703120 = 24 · 5 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392,1029] |
[a1,a2,a3,a4,a6] |
j |
3538944/1805 |
j-invariant |
L |
1.2449033360049 |
L(r)(E,1)/r! |
Ω |
1.2449033360049 |
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 |
74480cq1 93100f1 380a1 |
Quadratic twists by: -4 5 -7 |