Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248q |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-50065993728 = -1 · 212 · 312 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,780,6752] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:72:1] |
Generators of the group modulo torsion |
j |
17576000/16767 |
j-invariant |
L |
3.9919158421962 |
L(r)(E,1)/r! |
Ω |
0.73944122923769 |
Real period |
R |
1.3496393237065 |
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 |
13248c2 6624c1 4416b2 |
Quadratic twists by: -4 8 -3 |