Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18700f |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-467500000000 = -1 · 28 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1667,20463] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:893:8] |
Generators of the group modulo torsion |
j |
204800/187 |
j-invariant |
L |
3.1990875828805 |
L(r)(E,1)/r! |
Ω |
0.61128117637303 |
Real period |
R |
5.2334141906053 |
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 |
74800be1 18700n1 |
Quadratic twists by: -4 5 |