Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8024n |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
15149312 = 28 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 2 -2 2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,260] |
[a1,a2,a3,a4,a6] |
Generators |
[8:6:1] |
Generators of the group modulo torsion |
j |
259108432/59177 |
j-invariant |
L |
5.5519298113863 |
L(r)(E,1)/r! |
Ω |
2.0853194448394 |
Real period |
R |
1.3311940827881 |
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 |
16048d1 64192e1 72216c1 |
Quadratic twists by: -4 8 -3 |