Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178o |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
505606656 = 29 · 3 · 173 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -3 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-202,188] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:37:1] |
Generators of the group modulo torsion |
j |
184220009/102912 |
j-invariant |
L |
8.161584973536 |
L(r)(E,1)/r! |
Ω |
1.4298824252496 |
Real period |
R |
2.8539356959477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116178i1 |
Quadratic twists by: 17 |