Atkin-Lehner |
2+ 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346d |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
171933552 = 24 · 32 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-571,-5459] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:11:1] [-14:13:1] |
Generators of the group modulo torsion |
j |
60190200559/501264 |
j-invariant |
L |
4.2504709435256 |
L(r)(E,1)/r! |
Ω |
0.97692157183695 |
Real period |
R |
1.087720618026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52038bo2 17346q2 |
Quadratic twists by: -3 -7 |