Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bo |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-4002340831773750000 = -1 · 24 · 33 · 57 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-623758,-212854387] |
[a1,a2,a3,a4,a6] |
Generators |
[1073:18825:1] |
Generators of the group modulo torsion |
j |
-4447738624/663255 |
j-invariant |
L |
9.2927735556543 |
L(r)(E,1)/r! |
Ω |
0.084246497262653 |
Real period |
R |
4.5960237010381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340h1 5100f1 |
Quadratic twists by: 5 17 |