Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050r |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-56406250 = -1 · 2 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-505,-4253] |
[a1,a2,a3,a4,a6] |
Generators |
[542:3875:8] |
Generators of the group modulo torsion |
j |
-2520369/10 |
j-invariant |
L |
7.5778564794835 |
L(r)(E,1)/r! |
Ω |
0.50351312103561 |
Real period |
R |
3.762492059739 |
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 |
3610b1 18050a1 |
Quadratic twists by: 5 -19 |