Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bl |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
778210847568 = 24 · 37 · 72 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2820,-38999] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:99:1] [-25:126:1] |
Generators of the group modulo torsion |
j |
212629504000/66719037 |
j-invariant |
L |
11.357663798286 |
L(r)(E,1)/r! |
Ω |
0.67129057297563 |
Real period |
R |
0.70496445302616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28644p1 |
Quadratic twists by: -3 |