Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296q |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.8359061735715E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4785420,4000933744] |
[a1,a2,a3,a4,a6] |
Generators |
[392700:1639184:343] |
Generators of the group modulo torsion |
j |
253674278705546500/2058765672717 |
j-invariant |
L |
7.5695922814508 |
L(r)(E,1)/r! |
Ω |
0.19042234004638 |
Real period |
R |
9.9378994180996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cr2 15912k2 42432bd2 |
Quadratic twists by: -4 8 -3 |