Atkin-Lehner |
2+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
64672f |
Isogeny class |
Conductor |
64672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
355954688 = 212 · 432 · 47 |
Discriminant |
Eigenvalues |
2+ -2 0 2 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,-561] |
[a1,a2,a3,a4,a6] |
Generators |
[15:12:1] |
Generators of the group modulo torsion |
j |
195112000/86903 |
j-invariant |
L |
5.0519936656683 |
L(r)(E,1)/r! |
Ω |
1.3344266801234 |
Real period |
R |
1.8929453905376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64672g2 129344k1 |
Quadratic twists by: -4 8 |