Atkin-Lehner |
2- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
111800o |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-1118000 = -1 · 24 · 53 · 13 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] [1:7:1] |
Generators of the group modulo torsion |
j |
-2048/559 |
j-invariant |
L |
9.0136602902923 |
L(r)(E,1)/r! |
Ω |
2.2396286732243 |
Real period |
R |
1.0061556630471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111800k1 |
Quadratic twists by: 5 |