Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710ci |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-1.4815178704982E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-998676,-426527694] |
[a1,a2,a3,a4,a6] |
j |
-62178675647294809/8362782148050 |
j-invariant |
L |
4.1972219990199 |
L(r)(E,1)/r! |
Ω |
0.074950392794447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610k2 |
Quadratic twists by: -11 |