Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550h |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
289843750 = 2 · 58 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 4 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33076,2312548] |
[a1,a2,a3,a4,a6] |
j |
10244334540505/742 |
j-invariant |
L |
1.3155279444749 |
L(r)(E,1)/r! |
Ω |
1.3155279444749 |
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 |
18550j1 129850bf1 |
Quadratic twists by: 5 -7 |