Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248v |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
8 |
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 |
[248:3132:1] |
Generators of the group modulo torsion |
j |
3463512697/3174 |
j-invariant |
L |
3.2859232234399 |
L(r)(E,1)/r! |
Ω |
0.41130918182307 |
Real period |
R |
3.9944686000875 |
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 |
13248bf2 414b2 4416h2 |
Quadratic twists by: -4 8 -3 |