Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880bc |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
686198981160000 = 26 · 310 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22053,22052] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:880:1] |
Generators of the group modulo torsion |
j |
25422557731264/14707625625 |
j-invariant |
L |
6.4962421493594 |
L(r)(E,1)/r! |
Ω |
0.43133596227512 |
Real period |
R |
3.7651869603105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979487 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880dd1 36960bh1 |
Quadratic twists by: -4 -3 |