Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19992z |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2688549704338176 = -1 · 28 · 37 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4660945,-3874658173] |
[a1,a2,a3,a4,a6] |
Generators |
[2501:10878:1] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
6.6864178733218 |
L(r)(E,1)/r! |
Ω |
0.05137490720415 |
Real period |
R |
4.6481960032354 |
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 |
39984h1 59976k1 2856e1 |
Quadratic twists by: -4 -3 -7 |