Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110bn |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-5899500000000 = -1 · 28 · 33 · 59 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 1 -7 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2480,125952] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:328:1] |
Generators of the group modulo torsion |
j |
-1686901403185921/5899500000000 |
j-invariant |
L |
8.9500146556465 |
L(r)(E,1)/r! |
Ω |
0.66332198352112 |
Real period |
R |
0.062466274395806 |
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 |
104880cb1 39330f1 65550b1 |
Quadratic twists by: -4 -3 5 |