Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cm |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.9659113056607E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1111361,296962239] |
[a1,a2,a3,a4,a6] |
Generators |
[-926:23085:1] |
Generators of the group modulo torsion |
j |
579094763979479761/189434482790400 |
j-invariant |
L |
7.4910275439561 |
L(r)(E,1)/r! |
Ω |
0.18502412205214 |
Real period |
R |
3.3738968108909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56640c2 14160r2 |
Quadratic twists by: -4 8 |