Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
561d |
Isogeny class |
Conductor |
561 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
314721 = 32 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17,0] |
[a1,a2,a3,a4,a6] |
j |
545338513/314721 |
j-invariant |
L |
1.3001014679127 |
L(r)(E,1)/r! |
Ω |
2.6002029358254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8976r2 35904k2 1683e2 14025e2 |
Quadratic twists by: -4 8 -3 5 |