Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ba |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3788958259666944000 = -1 · 216 · 34 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268065,107906337] |
[a1,a2,a3,a4,a6] |
Generators |
[19:10140:1] |
Generators of the group modulo torsion |
j |
-32506165579682596/57814914850875 |
j-invariant |
L |
5.2281652454826 |
L(r)(E,1)/r! |
Ω |
0.22211113232168 |
Real period |
R |
0.9807712754404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hf3 10920o4 |
Quadratic twists by: -4 8 |