Atkin-Lehner |
2+ 7+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17066a |
Isogeny class |
Conductor |
17066 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
119462 = 2 · 72 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13003,569592] |
[a1,a2,a3,a4,a6] |
Generators |
[22:531:1] [64:-8:1] |
Generators of the group modulo torsion |
j |
243111994897723561/119462 |
j-invariant |
L |
2.7946114344797 |
L(r)(E,1)/r! |
Ω |
2.0166768753665 |
Real period |
R |
2.7715014424121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119462d2 |
Quadratic twists by: -7 |