Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800bk |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-8749056000 = -1 · 218 · 3 · 53 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,232,-4368] |
[a1,a2,a3,a4,a6] |
Generators |
[13:26:1] |
Generators of the group modulo torsion |
j |
2685619/17088 |
j-invariant |
L |
4.2494041768327 |
L(r)(E,1)/r! |
Ω |
0.65101104371961 |
Real period |
R |
3.2636959026534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13350i1 106800cd1 |
Quadratic twists by: -4 5 |