Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248s |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7733805798462160896 = 215 · 313 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-693804,177693680] |
[a1,a2,a3,a4,a6] |
Generators |
[3742:223560:1] |
Generators of the group modulo torsion |
j |
1546167879660104/323754489243 |
j-invariant |
L |
5.75581396756 |
L(r)(E,1)/r! |
Ω |
0.2214606164736 |
Real period |
R |
1.0829265528133 |
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 |
13248g2 6624i2 4416f2 |
Quadratic twists by: -4 8 -3 |