Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bk |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-403780933346918400 = -1 · 219 · 312 · 52 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,170975,-13993823] |
[a1,a2,a3,a4,a6] |
Generators |
[339:9100:1] |
Generators of the group modulo torsion |
j |
2108526614950391/1540302022350 |
j-invariant |
L |
4.7643906334996 |
L(r)(E,1)/r! |
Ω |
0.16809309155971 |
Real period |
R |
2.3619801954036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gs2 2730o2 |
Quadratic twists by: -4 8 |