Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bp |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
29884728384000000 = 212 · 34 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1029065,402059337] |
[a1,a2,a3,a4,a6] |
Generators |
[89:17640:1] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
5.1844715619826 |
L(r)(E,1)/r! |
Ω |
0.36285934868981 |
Real period |
R |
1.1906522414079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999663 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040dl2 23520r1 6720r2 |
Quadratic twists by: -4 8 -7 |