Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488w |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6055575552 = -1 · 214 · 37 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[5:63:1] |
Generators of the group modulo torsion |
j |
686000/507 |
j-invariant |
L |
3.6495936490606 |
L(r)(E,1)/r! |
Ω |
0.85729175850879 |
Real period |
R |
2.1285598589032 |
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 |
7488by2 936h2 2496m2 97344z2 |
Quadratic twists by: -4 8 -3 13 |