Atkin-Lehner |
3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33579d |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
781886645631 = 311 · 72 · 133 · 41 |
Discriminant |
Eigenvalues |
1 3- 3 7+ 3 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3213,-54918] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-870:1] |
Generators of the group modulo torsion |
j |
5032738790353/1072546839 |
j-invariant |
L |
8.5667389616382 |
L(r)(E,1)/r! |
Ω |
0.64367983665568 |
Real period |
R |
1.1090838532072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11193g1 |
Quadratic twists by: -3 |