Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800bt |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-153792000000 = -1 · 212 · 33 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,-27037] |
[a1,a2,a3,a4,a6] |
Generators |
[634:4875:8] |
Generators of the group modulo torsion |
j |
-4096000/2403 |
j-invariant |
L |
8.4766213883355 |
L(r)(E,1)/r! |
Ω |
0.38466703867682 |
Real period |
R |
3.6727093584419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6675a1 4272c1 |
Quadratic twists by: -4 5 |