Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ep |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1835008 |
Modular degree for the optimal curve |
Δ |
1585873088100000000 = 28 · 313 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293243,-7973269] |
[a1,a2,a3,a4,a6] |
j |
11152792880187967/6342300000000 |
j-invariant |
L |
3.5470376196708 |
L(r)(E,1)/r! |
Ω |
0.22168983332012 |
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 |
42630bv1 127890fu1 |
Quadratic twists by: -3 -7 |