Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932o |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1099008 |
Modular degree for the optimal curve |
Δ |
-6482946564864 = -1 · 28 · 39 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1406376,-641948652] |
[a1,a2,a3,a4,a6] |
Generators |
[6570504:741027231:512] |
Generators of the group modulo torsion |
j |
-61051563970043904/1286593 |
j-invariant |
L |
8.9215603862529 |
L(r)(E,1)/r! |
Ω |
0.069317708410348 |
Real period |
R |
10.72544639714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85932k1 |
Quadratic twists by: -3 |