Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120x |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
8729600 = 210 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-461,-3965] |
[a1,a2,a3,a4,a6] |
Generators |
[67:520:1] |
Generators of the group modulo torsion |
j |
10603964416/8525 |
j-invariant |
L |
2.9677778506509 |
L(r)(E,1)/r! |
Ω |
1.0301887559005 |
Real period |
R |
2.8808097718637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120g1 27280j1 |
Quadratic twists by: -4 8 |