Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2886b |
Isogeny class |
Conductor |
2886 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
17731584 = 212 · 32 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74,-169] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] |
Generators of the group modulo torsion |
j |
44852393377/17731584 |
j-invariant |
L |
3.9160062174764 |
L(r)(E,1)/r! |
Ω |
1.6838627796825 |
Real period |
R |
0.3876014784505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088p1 92352bd1 8658a1 72150be1 |
Quadratic twists by: -4 8 -3 5 |