Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16758bo |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
981175402303488 = 212 · 37 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35069,-2020539] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:744:1] |
Generators of the group modulo torsion |
j |
55611739513/11440128 |
j-invariant |
L |
8.5629578397951 |
L(r)(E,1)/r! |
Ω |
0.35392208243688 |
Real period |
R |
1.0081029912992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586k1 2394k1 |
Quadratic twists by: -3 -7 |