Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150dm |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-633330731297250000 = -1 · 24 · 37 · 56 · 75 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,206995,12280997] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:2596:1] |
Generators of the group modulo torsion |
j |
86110813111679/55601051856 |
j-invariant |
L |
10.486913588256 |
L(r)(E,1)/r! |
Ω |
0.1800273772738 |
Real period |
R |
0.24271571284192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43050q1 5166m1 |
Quadratic twists by: -3 5 |