Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gi |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.22857924045E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,396492,-367481988] |
[a1,a2,a3,a4,a6] |
Generators |
[4595663:96640250:6859] |
Generators of the group modulo torsion |
j |
14647977776/132355125 |
j-invariant |
L |
4.1511219025096 |
L(r)(E,1)/r! |
Ω |
0.09736859397375 |
Real period |
R |
5.3291335186378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bk4 11760ct4 8400ck4 |
Quadratic twists by: -4 5 -7 |