Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5390o |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
10780000 = 25 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11+ 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-138,-612] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] |
Generators of the group modulo torsion |
j |
5869932649/220000 |
j-invariant |
L |
3.4910998232934 |
L(r)(E,1)/r! |
Ω |
1.3973592761841 |
Real period |
R |
0.62458880167648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120cq1 48510dg1 26950cg1 5390a1 |
Quadratic twists by: -4 -3 5 -7 |