Atkin-Lehner |
2+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8024d |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14,-15] |
[a1,a2,a3,a4,a6] |
j |
18966528/17051 |
j-invariant |
L |
1.6986871858581 |
L(r)(E,1)/r! |
Ω |
1.6986871858581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16048a1 64192a1 72216q1 |
Quadratic twists by: -4 8 -3 |