Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17952f |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1411170816 = -1 · 29 · 3 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,256,-804] |
[a1,a2,a3,a4,a6] |
j |
3609741304/2756193 |
j-invariant |
L |
1.6940846906894 |
L(r)(E,1)/r! |
Ω |
0.84704234534471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17952m4 35904n3 53856bc2 |
Quadratic twists by: -4 8 -3 |