Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496l |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-187095785472 = -1 · 213 · 38 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1005,-16814] |
[a1,a2,a3,a4,a6] |
Generators |
[17:72:1] |
Generators of the group modulo torsion |
j |
37595375/62658 |
j-invariant |
L |
4.6114785450561 |
L(r)(E,1)/r! |
Ω |
0.53144466809958 |
Real period |
R |
1.0846563202775 |
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 |
1062c2 33984bq2 2832d2 |
Quadratic twists by: -4 8 -3 |