Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448dg |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.228859486345E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5656543,6924953439] |
[a1,a2,a3,a4,a6] |
Generators |
[-6693835019:209802152604:7189057] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
5.5143246673923 |
L(r)(E,1)/r! |
Ω |
0.079759160099137 |
Real period |
R |
17.28429894616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448k2 8112u2 97344ft2 32448dc2 |
Quadratic twists by: -4 8 -3 13 |