Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cr |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6.8526E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2505408,861499188] |
[a1,a2,a3,a4,a6] |
Generators |
[-1452:37950:1] |
Generators of the group modulo torsion |
j |
27175609354259449/10707187500000 |
j-invariant |
L |
8.0418571041386 |
L(r)(E,1)/r! |
Ω |
0.14656849570343 |
Real period |
R |
4.5722974467457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7050v2 11280n2 |
Quadratic twists by: -4 5 |