Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33072t |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
73710484144128 = 214 · 36 · 133 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-749432,249466068] |
[a1,a2,a3,a4,a6] |
Generators |
[22:15264:1] |
Generators of the group modulo torsion |
j |
11364780258971694073/17995723668 |
j-invariant |
L |
7.8984165254032 |
L(r)(E,1)/r! |
Ω |
0.52330428217613 |
Real period |
R |
1.2577794593613 |
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 |
4134a2 99216bj2 |
Quadratic twists by: -4 -3 |