Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770dd |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-197589763800 = -1 · 23 · 312 · 52 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-530,21852] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:148:1] |
Generators of the group modulo torsion |
j |
-97435188409/1169170200 |
j-invariant |
L |
12.819236299228 |
L(r)(E,1)/r! |
Ω |
0.85398658212241 |
Real period |
R |
0.20848682207591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770w1 |
Quadratic twists by: 13 |