Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472v |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27270245376 = 210 · 310 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86619,9812230] |
[a1,a2,a3,a4,a6] |
Generators |
[195:580:1] |
Generators of the group modulo torsion |
j |
96279920698468/36531 |
j-invariant |
L |
5.9258793078983 |
L(r)(E,1)/r! |
Ω |
0.96077853256719 |
Real period |
R |
3.0838945225308 |
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 |
64944q4 10824f3 |
Quadratic twists by: -4 -3 |