Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cs |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-65093652449280000 = -1 · 214 · 310 · 54 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36296,12557376] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:3952:1] |
Generators of the group modulo torsion |
j |
-107920681386000721/1328441886720000 |
j-invariant |
L |
8.7562996685795 |
L(r)(E,1)/r! |
Ω |
0.29607714032874 |
Real period |
R |
0.03520760252056 |
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 |
57330cq1 95550m1 19110bw1 |
Quadratic twists by: -3 5 -7 |