Atkin-Lehner |
2- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
92560l |
Isogeny class |
Conductor |
92560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
1577163161600 = 222 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5867,162074] |
[a1,a2,a3,a4,a6] |
Generators |
[58:130:1] |
Generators of the group modulo torsion |
j |
5452705332801/385049600 |
j-invariant |
L |
6.4734449187475 |
L(r)(E,1)/r! |
Ω |
0.82872956567161 |
Real period |
R |
1.9528218787463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11570e1 |
Quadratic twists by: -4 |