Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5390a |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
1268256220000 = 25 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6738,203092] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:627:1] |
Generators of the group modulo torsion |
j |
5869932649/220000 |
j-invariant |
L |
2.0220980067089 |
L(r)(E,1)/r! |
Ω |
0.85429446881539 |
Real period |
R |
0.39449668323243 |
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 |
43120z1 48510dr1 26950br1 5390o1 |
Quadratic twists by: -4 -3 5 -7 |