Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120bk |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
36669429000000 = 26 · 313 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-603237,180334784] |
[a1,a2,a3,a4,a6] |
Generators |
[3554:1215:8] |
Generators of the group modulo torsion |
j |
520331507252226496/785953125 |
j-invariant |
L |
6.4845852833894 |
L(r)(E,1)/r! |
Ω |
0.55376497381188 |
Real period |
R |
0.97583294809949 |
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 |
33120bh1 66240ex2 11040a1 |
Quadratic twists by: -4 8 -3 |