Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bf |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
113192681472 = 214 · 312 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,-35440] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:36:1] |
Generators of the group modulo torsion |
j |
94875856/9477 |
j-invariant |
L |
2.4262783732199 |
L(r)(E,1)/r! |
Ω |
0.70383311188251 |
Real period |
R |
1.7236176674968 |
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 |
7488cd2 936c2 2496g2 97344cw2 |
Quadratic twists by: -4 8 -3 13 |