Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360v |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
2800526400 = 26 · 36 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-890,-10200] |
[a1,a2,a3,a4,a6] |
j |
1219555693504/43758225 |
j-invariant |
L |
2.6277836323837 |
L(r)(E,1)/r! |
Ω |
0.87592787746125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3360g1 6720a2 10080i1 16800g1 |
Quadratic twists by: -4 8 -3 5 |