Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bc |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1270720 = 26 · 5 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[174174:1375515:2744] |
Generators of the group modulo torsion |
j |
519718464/19855 |
j-invariant |
L |
7.9451417148901 |
L(r)(E,1)/r! |
Ω |
1.6726355899698 |
Real period |
R |
9.500146668787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bl1 33440f2 |
Quadratic twists by: -4 8 |