Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fb |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
9797760000 = 210 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,1496] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:45:1] |
Generators of the group modulo torsion |
j |
24918016/13125 |
j-invariant |
L |
5.6779953432651 |
L(r)(E,1)/r! |
Ω |
1.1331979048695 |
Real period |
R |
1.2526486589116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160bx1 5040k1 6720bl1 100800kx1 |
Quadratic twists by: -4 8 -3 5 |