Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110m |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-244928078028733500 = -1 · 22 · 39 · 53 · 196 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53914,24289112] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:3671:1] |
Generators of the group modulo torsion |
j |
-17330727570991521049/244928078028733500 |
j-invariant |
L |
4.2511340277612 |
L(r)(E,1)/r! |
Ω |
0.26437474980357 |
Real period |
R |
2.6799924670818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
104880bf1 39330ca1 65550bv1 |
Quadratic twists by: -4 -3 5 |