Atkin-Lehner |
2- 3- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688bb |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1983696 = 24 · 3 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,570] |
[a1,a2,a3,a4,a6] |
Generators |
[-152214:267240:12167] |
Generators of the group modulo torsion |
j |
17903239168/123981 |
j-invariant |
L |
10.3086902136 |
L(r)(E,1)/r! |
Ω |
2.6369231035878 |
Real period |
R |
7.8187264219168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29172c1 |
Quadratic twists by: -4 |