Atkin-Lehner |
2- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6118f |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24288 |
Modular degree for the optimal curve |
Δ |
-3456367146764 = -1 · 22 · 711 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3 3 7+ 0 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3369,-49157] |
[a1,a2,a3,a4,a6] |
j |
4230070364747583/3456367146764 |
j-invariant |
L |
7.8979023709603 |
L(r)(E,1)/r! |
Ω |
0.43877235394224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48944bc1 55062j1 42826s1 116242e1 |
Quadratic twists by: -4 -3 -7 -19 |