Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1050p |
Isogeny class |
Conductor |
1050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
26250000 = 24 · 3 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-208] |
[a1,a2,a3,a4,a6] |
j |
4826809/1680 |
j-invariant |
L |
3.2061655212774 |
L(r)(E,1)/r! |
Ω |
1.6030827606387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400bk1 33600y1 3150o1 210d1 |
Quadratic twists by: -4 8 -3 5 |