Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488bt |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
488209996144705536 = 226 · 316 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748524,246985040] |
[a1,a2,a3,a4,a6] |
Generators |
[-74320:2743884:125] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
4.2970740905538 |
L(r)(E,1)/r! |
Ω |
0.29606899364448 |
Real period |
R |
7.2568796172451 |
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 |
7488o2 1872r2 2496u2 97344fn2 |
Quadratic twists by: -4 8 -3 13 |