Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110bk |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-139186667520 = -1 · 218 · 35 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,494,-17404] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-610:1] |
Generators of the group modulo torsion |
j |
13330597374431/139186667520 |
j-invariant |
L |
7.8073715387499 |
L(r)(E,1)/r! |
Ω |
0.51022531683309 |
Real period |
R |
0.17002012599299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880z1 39330x1 65550f1 |
Quadratic twists by: -4 -3 5 |