Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112bm |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-892809216 = -1 · 212 · 36 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -1 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,1168] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1036:27] |
Generators of the group modulo torsion |
j |
175616/299 |
j-invariant |
L |
8.7431828978027 |
L(r)(E,1)/r! |
Ω |
1.0790778363246 |
Real period |
R |
4.0512290219789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86112be1 9568d1 |
Quadratic twists by: -4 -3 |