Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
205784525760 = 26 · 3 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,26490] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:242:1] [1178:13639:8] |
Generators of the group modulo torsion |
j |
7529536/1815 |
j-invariant |
L |
8.3920333799843 |
L(r)(E,1)/r! |
Ω |
0.94097824977184 |
Real period |
R |
8.9184137722078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160do1 58080cg2 10560b1 |
Quadratic twists by: -4 8 -11 |