Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5720c |
Isogeny class |
Conductor |
5720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
4948658000 = 24 · 53 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7082,229369] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:605:1] |
Generators of the group modulo torsion |
j |
2455113061103616/309291125 |
j-invariant |
L |
4.0432467644708 |
L(r)(E,1)/r! |
Ω |
1.3159142113497 |
Real period |
R |
1.0241920862819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11440e1 45760c1 51480bi1 28600q1 |
Quadratic twists by: -4 8 -3 5 |