Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848cw |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
1.1046116525624E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45458497,-116896156993] |
[a1,a2,a3,a4,a6] |
Generators |
[-4123:21420:1] |
Generators of the group modulo torsion |
j |
79260902459030376659234/842751810121431609 |
j-invariant |
L |
7.6784005601974 |
L(r)(E,1)/r! |
Ω |
0.058180135871247 |
Real period |
R |
1.8330045234162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22848h3 5712g4 68544em3 |
Quadratic twists by: -4 8 -3 |