Atkin-Lehner |
2- 3+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106bg |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
857088 |
Modular degree for the optimal curve |
Δ |
333719532050688 = 28 · 39 · 72 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761294,255856861] |
[a1,a2,a3,a4,a6] |
Generators |
[-1007:1259:1] |
Generators of the group modulo torsion |
j |
2479071803616765531/16954708736 |
j-invariant |
L |
13.154586859271 |
L(r)(E,1)/r! |
Ω |
0.48361916434152 |
Real period |
R |
3.4000376282317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106h1 |
Quadratic twists by: -3 |