Atkin-Lehner |
2- 3+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33072p |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-23773741056 = -1 · 215 · 34 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -1 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1560,-24336] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1872:1] |
Generators of the group modulo torsion |
j |
-102568953241/5804136 |
j-invariant |
L |
5.4412297432422 |
L(r)(E,1)/r! |
Ω |
0.37856530944365 |
Real period |
R |
0.89833075157479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4134d1 99216br1 |
Quadratic twists by: -4 -3 |