Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13248bf |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
606560845824 = 219 · 37 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 2 6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18156,940880] |
[a1,a2,a3,a4,a6] |
Generators |
[58:288:1] |
Generators of the group modulo torsion |
j |
3463512697/3174 |
j-invariant |
L |
4.9280443912775 |
L(r)(E,1)/r! |
Ω |
0.91005897890314 |
Real period |
R |
0.67688530434822 |
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 |
13248v2 3312o2 4416u2 |
Quadratic twists by: -4 8 -3 |