Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360be |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.2114443349262E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19325160,32686862192] |
[a1,a2,a3,a4,a6] |
Generators |
[-85812:6722560:27] |
Generators of the group modulo torsion |
j |
194864658842816448209641/127232527708160000 |
j-invariant |
L |
7.494813884017 |
L(r)(E,1)/r! |
Ω |
0.16321346222118 |
Real period |
R |
5.7400395944823 |
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 |
2170h4 69440ch4 86800bx4 121520cb4 |
Quadratic twists by: -4 8 5 -7 |