Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10736b |
Isogeny class |
Conductor |
10736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
1374208 = 211 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ -1 2 4 11+ 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
1825346/671 |
j-invariant |
L |
4.821415257612 |
L(r)(E,1)/r! |
Ω |
2.0639252960496 |
Real period |
R |
0.5840103887045 |
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 |
5368c1 42944ba1 96624n1 118096k1 |
Quadratic twists by: -4 8 -3 -11 |