Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11532b |
Isogeny class |
Conductor |
11532 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
12869712 = 24 · 33 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,-1790] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:1:1] |
Generators of the group modulo torsion |
j |
5619712/27 |
j-invariant |
L |
2.1501074480673 |
L(r)(E,1)/r! |
Ω |
1.1579118915148 |
Real period |
R |
1.2379223116044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46128ba1 34596m1 11532f1 |
Quadratic twists by: -4 -3 -31 |