Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100bi |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
306 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
-41510813994720000 = -1 · 28 · 317 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,69867,6773463] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:210:1] [-63:1458:1] |
Generators of the group modulo torsion |
j |
235729426841600/259442587467 |
j-invariant |
L |
12.614314456863 |
L(r)(E,1)/r! |
Ω |
0.24046631099362 |
Real period |
R |
0.17143045813515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100j1 |
Quadratic twists by: 5 |