Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120v |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
114264000000 = 29 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16803,-838198] |
[a1,a2,a3,a4,a6] |
j |
37953380909016/8265625 |
j-invariant |
L |
0.83866500043462 |
L(r)(E,1)/r! |
Ω |
0.41933250021617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120a2 66240n2 33120d2 |
Quadratic twists by: -4 8 -3 |