Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104ci |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4540686874472448 = 212 · 38 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180432,-29381292] |
[a1,a2,a3,a4,a6] |
Generators |
[14628:153170:27] |
Generators of the group modulo torsion |
j |
6570725617/45927 |
j-invariant |
L |
9.8983846390775 |
L(r)(E,1)/r! |
Ω |
0.23174155045634 |
Real period |
R |
5.3391292007253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6069b4 336e3 |
Quadratic twists by: -4 17 |