Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932s |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-692234627648256 = -1 · 28 · 37 · 73 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21408,385828] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:198:1] |
Generators of the group modulo torsion |
j |
5814126903296/3709247619 |
j-invariant |
L |
6.8077497338747 |
L(r)(E,1)/r! |
Ω |
0.31698098498928 |
Real period |
R |
1.7897366226273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644o1 |
Quadratic twists by: -3 |