Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bp |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
103680202500000000 = 28 · 39 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133167,10481074] |
[a1,a2,a3,a4,a6] |
Generators |
[3833:-236250:1] [-255:5278:1] |
Generators of the group modulo torsion |
j |
1399413523773904/555556640625 |
j-invariant |
L |
12.067891609802 |
L(r)(E,1)/r! |
Ω |
0.30485919855998 |
Real period |
R |
0.49481414973604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120k1 |
Quadratic twists by: -3 |