Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17238l |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28123132337196 = 22 · 3 · 1310 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-184467,30416901] |
[a1,a2,a3,a4,a6] |
Generators |
[2190:4711:8] |
Generators of the group modulo torsion |
j |
143820170742457/5826444 |
j-invariant |
L |
7.4605615726858 |
L(r)(E,1)/r! |
Ω |
0.62408305325782 |
Real period |
R |
5.977218523833 |
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 |
51714d4 1326b4 |
Quadratic twists by: -3 13 |