Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18759k |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-694083 = -1 · 3 · 132 · 372 |
Discriminant |
Eigenvalues |
2 3- 0 1 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,22,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:595:216] |
Generators of the group modulo torsion |
j |
6656000/4107 |
j-invariant |
L |
11.916852281562 |
L(r)(E,1)/r! |
Ω |
1.7681120554734 |
Real period |
R |
3.3699369462109 |
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 |
56277n1 18759i1 |
Quadratic twists by: -3 13 |