Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cv |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
36903845888 = 218 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-833] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:52:1] [-14:91:1] |
Generators of the group modulo torsion |
j |
244140625/140777 |
j-invariant |
L |
8.1653276699454 |
L(r)(E,1)/r! |
Ω |
0.96855328728972 |
Real period |
R |
2.1076093017244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008g1 24752be1 |
Quadratic twists by: -4 8 |