Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bb |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
535040000 = 212 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212,416] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:40:1] |
Generators of the group modulo torsion |
j |
257259456/130625 |
j-invariant |
L |
6.1100759100768 |
L(r)(E,1)/r! |
Ω |
1.4532981280667 |
Real period |
R |
1.0510706289499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bj1 33440e1 |
Quadratic twists by: -4 8 |