Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162br |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-116692748928 = -1 · 27 · 33 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -3 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,799,13745] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-152:1] |
Generators of the group modulo torsion |
j |
17779581/36736 |
j-invariant |
L |
7.2343893734541 |
L(r)(E,1)/r! |
Ω |
0.72681521192804 |
Real period |
R |
0.17774191074407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162j1 5166w1 |
Quadratic twists by: -3 -7 |