Atkin-Lehner |
3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
171a |
Isogeny class |
Conductor |
171 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2368521 = 38 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59,-142] |
[a1,a2,a3,a4,a6] |
j |
30664297/3249 |
j-invariant |
L |
0.86836134047839 |
L(r)(E,1)/r! |
Ω |
1.7367226809568 |
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 |
2736t2 10944bh2 57b1 4275e2 |
Quadratic twists by: -4 8 -3 5 |