Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1568b |
Isogeny class |
Conductor |
1568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
165288374272 = 212 · 79 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 0 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.86165554678166 |
L(r)(E,1)/r! |
Ω |
0.86165554678166 |
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 |
1568b2 3136u1 14112cg2 39200bp2 |
Quadratic twists by: -4 8 -3 5 |