Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710l |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
2400 |
Product of Tamagawa factors cp |
Δ |
4.1093086848275E+23 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26308470,-41792203100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2910:102080:1] |
Generators of the group modulo torsion |
j |
2013772885083441200265936481/410930868482750000000000 |
j-invariant |
L |
5.609589684125 |
L(r)(E,1)/r! |
Ω |
0.067616798874002 |
Real period |
R |
0.13826913275841 |
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 |
88550a2 123970bb2 |
Quadratic twists by: 5 -7 |