Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550c |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
13045760000000 = 218 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29900,1970000] |
[a1,a2,a3,a4,a6] |
Generators |
[115:205:1] |
Generators of the group modulo torsion |
j |
189208196468929/834928640 |
j-invariant |
L |
3.7107942594063 |
L(r)(E,1)/r! |
Ω |
0.71252165112003 |
Real period |
R |
1.3019935091001 |
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 |
36400bx1 40950dl1 910j1 31850bc1 |
Quadratic twists by: -4 -3 5 -7 |