Atkin-Lehner |
2- 3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970bv |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
11993490196070400 = 216 · 311 · 52 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72788,-5401033] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1357:1] |
Generators of the group modulo torsion |
j |
58501897066884601/16451975577600 |
j-invariant |
L |
11.976531816035 |
L(r)(E,1)/r! |
Ω |
0.29685177620018 |
Real period |
R |
0.63039309519673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990i1 |
Quadratic twists by: -3 |