Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570j |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1631699664400 = 24 · 52 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25053,-1518763] |
[a1,a2,a3,a4,a6] |
Generators |
[-714:485:8] |
Generators of the group modulo torsion |
j |
72043225281/67600 |
j-invariant |
L |
7.4580831108675 |
L(r)(E,1)/r! |
Ω |
0.3794988284266 |
Real period |
R |
4.9131133960205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
130b2 |
Quadratic twists by: 17 |