Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680du |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.02144E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9237121,-10692658655] |
[a1,a2,a3,a4,a6] |
Generators |
[-651057885816:3555101171875:360944128] |
Generators of the group modulo torsion |
j |
332501596620668284321/3896484375000000 |
j-invariant |
L |
4.7908064293165 |
L(r)(E,1)/r! |
Ω |
0.086660870107039 |
Real period |
R |
13.820558242818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000155014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680cf3 31920cc3 |
Quadratic twists by: -4 8 |