Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600ca |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.2447669706752E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-510608,-432756288] |
[a1,a2,a3,a4,a6] |
Generators |
[3309170178:-106057367450:2146689] |
Generators of the group modulo torsion |
j |
-230042158153417/1131994839168 |
j-invariant |
L |
4.8607081375349 |
L(r)(E,1)/r! |
Ω |
0.080682214730433 |
Real period |
R |
15.061275132738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bf2 2064j2 |
Quadratic twists by: -4 5 |