Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120n |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3353400000000 = -1 · 29 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,333,88074] |
[a1,a2,a3,a4,a6] |
Generators |
[58:550:1] |
Generators of the group modulo torsion |
j |
10941048/8984375 |
j-invariant |
L |
5.3488701102647 |
L(r)(E,1)/r! |
Ω |
0.61973965072812 |
Real period |
R |
2.1577085248541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120r2 66240eh3 3680g4 |
Quadratic twists by: -4 8 -3 |