Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160m |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-45918861120 = -1 · 26 · 34 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,-9810] |
[a1,a2,a3,a4,a6] |
Generators |
[51:378:1] [597:2744:27] |
Generators of the group modulo torsion |
j |
85184/405 |
j-invariant |
L |
9.8787595100396 |
L(r)(E,1)/r! |
Ω |
0.57208780948171 |
Real period |
R |
17.267907734601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160cs1 58080x2 960a1 |
Quadratic twists by: -4 8 -11 |