Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488bs |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16374276292608 = 218 · 37 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11244,415568] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:864:1] |
Generators of the group modulo torsion |
j |
822656953/85683 |
j-invariant |
L |
5.1380533371419 |
L(r)(E,1)/r! |
Ω |
0.67498780356931 |
Real period |
R |
1.9030171026692 |
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 |
7488p3 1872q4 2496t3 97344fo3 |
Quadratic twists by: -4 8 -3 13 |