Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bg |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4784652288 = 220 · 33 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4044,-98928] |
[a1,a2,a3,a4,a6] |
Generators |
[114:960:1] |
Generators of the group modulo torsion |
j |
1033364331/676 |
j-invariant |
L |
4.8855429638443 |
L(r)(E,1)/r! |
Ω |
0.59870629054818 |
Real period |
R |
2.0400416034426 |
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 |
7488f2 1872k2 7488bi2 97344dy2 |
Quadratic twists by: -4 8 -3 13 |