Atkin-Lehner |
3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735a |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
170586405 = 34 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2173,38092] |
[a1,a2,a3,a4,a6] |
Generators |
[12:112:1] |
Generators of the group modulo torsion |
j |
1135573198803289/170586405 |
j-invariant |
L |
4.2339699902009 |
L(r)(E,1)/r! |
Ω |
1.7483881355586 |
Real period |
R |
1.2108209567689 |
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 |
29205o2 48675l2 107085c2 |
Quadratic twists by: -3 5 -11 |