Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110k |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
2831760 = 24 · 34 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3689,85916] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-8:1] |
Generators of the group modulo torsion |
j |
5549839638048649/2831760 |
j-invariant |
L |
3.7265414577313 |
L(r)(E,1)/r! |
Ω |
2.0861329871987 |
Real period |
R |
0.89316967820336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880bn1 39330bs1 65550bm1 |
Quadratic twists by: -4 -3 5 |