Atkin-Lehner |
2- 3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110v |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
82880 |
Modular degree for the optimal curve |
Δ |
-53390884687500 = -1 · 22 · 3 · 57 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 5 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8854,147779] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1393:1] |
Generators of the group modulo torsion |
j |
76760748228274271/53390884687500 |
j-invariant |
L |
4.9910609512544 |
L(r)(E,1)/r! |
Ω |
0.39860265072247 |
Real period |
R |
1.2521394281268 |
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 |
104880co1 39330bd1 65550bh1 |
Quadratic twists by: -4 -3 5 |