Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980t |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-692715628800 = -1 · 28 · 311 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2193,6406] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:405:8] |
Generators of the group modulo torsion |
j |
6249886256/3711825 |
j-invariant |
L |
8.7139897434732 |
L(r)(E,1)/r! |
Ω |
0.55237489125229 |
Real period |
R |
1.9719374180277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36660e1 |
Quadratic twists by: -3 |