Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298d |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.7744880715262E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 -3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,400557,177537077] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:12985:1] [1597:69118:1] |
Generators of the group modulo torsion |
j |
406869021/1015808 |
j-invariant |
L |
5.6206542505978 |
L(r)(E,1)/r! |
Ω |
0.15267321014849 |
Real period |
R |
4.6018668281188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17298n1 558b2 |
Quadratic twists by: -3 -31 |