Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550c |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
236600000000 = 29 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-477900,126962000] |
[a1,a2,a3,a4,a6] |
Generators |
[545:5090:1] |
Generators of the group modulo torsion |
j |
772531501373731009/15142400 |
j-invariant |
L |
3.7107942594063 |
L(r)(E,1)/r! |
Ω |
0.71252165112003 |
Real period |
R |
2.6039870182003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400bx2 40950dl2 910j2 31850bc2 |
Quadratic twists by: -4 -3 5 -7 |