Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160do |
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 |
[65111574:-1681496859:97336] |
Generators of the group modulo torsion |
j |
7529536/1815 |
j-invariant |
L |
10.345563919502 |
L(r)(E,1)/r! |
Ω |
0.72858500774709 |
Real period |
R |
14.199528977767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160bc1 58080m2 10560w1 |
Quadratic twists by: -4 8 -11 |