Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8024m |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
-74205952 = -1 · 28 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 -2 3 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-577,-5163] |
[a1,a2,a3,a4,a6] |
Generators |
[4695:19662:125] |
Generators of the group modulo torsion |
j |
-83131122688/289867 |
j-invariant |
L |
6.2901712450021 |
L(r)(E,1)/r! |
Ω |
0.48688034312744 |
Real period |
R |
6.459668513826 |
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 |
16048c1 64192f1 72216d1 |
Quadratic twists by: -4 8 -3 |