Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bp |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3359287427328 = -1 · 28 · 38 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2271,-97526] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1638:1] |
Generators of the group modulo torsion |
j |
-6940769488/18000297 |
j-invariant |
L |
4.7658748502275 |
L(r)(E,1)/r! |
Ω |
0.32160540840844 |
Real period |
R |
2.4698355633035 |
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 |
4284e2 68544es2 5712v2 119952fa2 |
Quadratic twists by: -4 8 -3 -7 |