Atkin-Lehner |
3- 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128775d |
Isogeny class |
Conductor |
128775 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-242378614828125 = -1 · 312 · 56 · 172 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7012,714717] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-1031:1] |
Generators of the group modulo torsion |
j |
2440200643847/15512231349 |
j-invariant |
L |
4.8454735208585 |
L(r)(E,1)/r! |
Ω |
0.4029006176914 |
Real period |
R |
0.50110304711586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5151a2 |
Quadratic twists by: 5 |