Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1568g |
Isogeny class |
Conductor |
1568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-481890304 = -1 · 212 · 76 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2:20:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
2.9621148832548 |
L(r)(E,1)/r! |
Ω |
0.99104460170788 |
Real period |
R |
1.4944407538017 |
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 |
1568g4 3136t1 14112x4 39200f2 |
Quadratic twists by: -4 8 -3 5 |