Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360u |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
23372294400000000 = 214 · 32 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-531025,148938577] |
[a1,a2,a3,a4,a6] |
Generators |
[-591:16000:1] [-191:15600:1] |
Generators of the group modulo torsion |
j |
1010763367143985744/1426531640625 |
j-invariant |
L |
10.030474207567 |
L(r)(E,1)/r! |
Ω |
0.37917760674279 |
Real period |
R |
1.6533271660057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360hb2 10920p2 |
Quadratic twists by: -4 8 |