Atkin-Lehner |
2+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
11570a |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
1480960 = 28 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -6 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115,501] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:29:1] [-3:30:1] |
Generators of the group modulo torsion |
j |
169020650889/1480960 |
j-invariant |
L |
4.5134331332632 |
L(r)(E,1)/r! |
Ω |
2.7008226987804 |
Real period |
R |
3.3422654032804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92560i1 104130bv1 57850t1 |
Quadratic twists by: -4 -3 5 |