Atkin-Lehner |
7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5593b |
Isogeny class |
Conductor |
5593 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
262871 = 7 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 0 2 7- -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-634,6298] |
[a1,a2,a3,a4,a6] |
Generators |
[17:6:1] |
Generators of the group modulo torsion |
j |
28141622521713/262871 |
j-invariant |
L |
2.5737775393973 |
L(r)(E,1)/r! |
Ω |
2.8000186910314 |
Real period |
R |
1.8384002561421 |
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 |
89488d2 50337p2 39151d2 95081a2 |
Quadratic twists by: -4 -3 -7 17 |