Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240cd |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.6449226591274E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62164587,178275335834] |
[a1,a2,a3,a4,a6] |
Generators |
[-9017:75330:1] |
Generators of the group modulo torsion |
j |
8897446676824571118889/550881270337500000 |
j-invariant |
L |
5.8174359978057 |
L(r)(E,1)/r! |
Ω |
0.082826790324463 |
Real period |
R |
4.389760226604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6030x3 16080r3 |
Quadratic twists by: -4 -3 |