Atkin-Lehner |
2- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18550t |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
1159375000 = 23 · 58 · 7 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -4 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-263,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] |
Generators of the group modulo torsion |
j |
5151505/2968 |
j-invariant |
L |
5.5857672098438 |
L(r)(E,1)/r! |
Ω |
1.2911463332601 |
Real period |
R |
0.48068974453627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18550d1 129850dd1 |
Quadratic twists by: 5 -7 |