Atkin-Lehner |
2+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86336g |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
-2212878016 = -1 · 26 · 193 · 712 |
Discriminant |
Eigenvalues |
2+ -2 -3 -3 -5 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4807,126711] |
[a1,a2,a3,a4,a6] |
Generators |
[38:19:1] [46:71:1] |
Generators of the group modulo torsion |
j |
-191980203484672/34576219 |
j-invariant |
L |
4.760819382063 |
L(r)(E,1)/r! |
Ω |
1.4171204771231 |
Real period |
R |
0.55991703583372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86336d1 43168b1 |
Quadratic twists by: -4 8 |