Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280c |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
640315408590080 = 28 · 5 · 298 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30556,1646460] |
[a1,a2,a3,a4,a6] |
Generators |
[54:396:1] |
Generators of the group modulo torsion |
j |
20720464/4205 |
j-invariant |
L |
4.1496584160989 |
L(r)(E,1)/r! |
Ω |
0.48537873616346 |
Real period |
R |
4.274660288388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33640d2 2320a2 |
Quadratic twists by: -4 29 |