Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67240h |
Isogeny class |
Conductor |
67240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
31160683820960000 = 28 · 54 · 417 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79007,-964894] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:2590:1] |
Generators of the group modulo torsion |
j |
44851536/25625 |
j-invariant |
L |
4.6933226661131 |
L(r)(E,1)/r! |
Ω |
0.30839181017309 |
Real period |
R |
3.8046751814097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001813 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1640g1 |
Quadratic twists by: 41 |