Atkin-Lehner |
2+ 3- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990i |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
16451975577600 = 216 · 35 · 52 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8088,200038] |
[a1,a2,a3,a4,a6] |
Generators |
[104:-750:1] |
Generators of the group modulo torsion |
j |
58501897066884601/16451975577600 |
j-invariant |
L |
6.2774433091842 |
L(r)(E,1)/r! |
Ω |
0.64766714413084 |
Real period |
R |
0.96923911704802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970bv1 |
Quadratic twists by: -3 |