Atkin-Lehner |
3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33759a |
Isogeny class |
Conductor |
33759 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1973602217367 = -1 · 33 · 119 · 31 |
Discriminant |
Eigenvalues |
1 3+ 0 2 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1248,65115] |
[a1,a2,a3,a4,a6] |
Generators |
[-6336162:35518265:250047] |
Generators of the group modulo torsion |
j |
3375/31 |
j-invariant |
L |
7.5604296801628 |
L(r)(E,1)/r! |
Ω |
0.60829843661389 |
Real period |
R |
12.428816556307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33759c1 33759d1 |
Quadratic twists by: -3 -11 |