Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17238l |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1698025319827668 = 22 · 34 · 137 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56027,-4726987] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:676:1] |
Generators of the group modulo torsion |
j |
4029546653497/351790452 |
j-invariant |
L |
7.4605615726858 |
L(r)(E,1)/r! |
Ω |
0.31204152662891 |
Real period |
R |
1.4943046309582 |
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 |
51714d3 1326b3 |
Quadratic twists by: -3 13 |