Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394ct |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
715 |
Product of Tamagawa factors cp |
deg |
960960 |
Modular degree for the optimal curve |
Δ |
112883575115114496 = 211 · 313 · 75 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-167461,-20856703] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:1211:1] |
Generators of the group modulo torsion |
j |
4292195992794307609/932922108389376 |
j-invariant |
L |
11.929649597842 |
L(r)(E,1)/r! |
Ω |
0.2396513135227 |
Real period |
R |
0.069621252523227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394z1 |
Quadratic twists by: -11 |