Atkin-Lehner |
3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813b |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-1724463 = -1 · 33 · 13 · 173 |
Discriminant |
Eigenvalues |
1 3+ -2 0 -6 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3,64] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] |
Generators of the group modulo torsion |
j |
-27/13 |
j-invariant |
L |
3.9730335507692 |
L(r)(E,1)/r! |
Ω |
2.1511744714238 |
Real period |
R |
1.8469136760157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33813c1 33813a1 |
Quadratic twists by: -3 17 |