Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932q |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-94007171655936 = -1 · 28 · 33 · 73 · 113 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4119,477454] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:462:1] |
Generators of the group modulo torsion |
j |
-1118137874544/13600574603 |
j-invariant |
L |
5.8265178627847 |
L(r)(E,1)/r! |
Ω |
0.51075316752407 |
Real period |
R |
0.63376099793756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898532 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85932i2 |
Quadratic twists by: -3 |