Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3333g |
Isogeny class |
Conductor |
3333 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
75093921862509429 = 310 · 112 · 1015 |
Discriminant |
Eigenvalues |
-2 3- 1 -2 11- -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-109290,-4459642] |
[a1,a2,a3,a4,a6] |
j |
144367343061390585856/75093921862509429 |
j-invariant |
L |
1.111974194926 |
L(r)(E,1)/r! |
Ω |
0.27799354873149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
53328i1 9999h1 83325j1 36663k1 |
Quadratic twists by: -4 -3 5 -11 |