Atkin-Lehner |
3- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981r |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-2295260253 = -1 · 33 · 113 · 13 · 173 |
Discriminant |
Eigenvalues |
-1 3- -2 -3 11- 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,266,-1567] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-301:1] |
Generators of the group modulo torsion |
j |
423564751/467181 |
j-invariant |
L |
2.485873645908 |
L(r)(E,1)/r! |
Ω |
0.78677442278314 |
Real period |
R |
0.17553201126323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999608827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123981a1 |
Quadratic twists by: 17 |