Atkin-Lehner |
3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
9735c |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4682916666759375 = 35 · 55 · 116 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4051636,-3140704042] |
[a1,a2,a3,a4,a6] |
Generators |
[3949:204088:1] |
Generators of the group modulo torsion |
j |
7355547134092593010029889/4682916666759375 |
j-invariant |
L |
1.7053843294423 |
L(r)(E,1)/r! |
Ω |
0.10641233313409 |
Real period |
R |
5.3420635221964 |
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 |
29205k2 48675s2 107085d2 |
Quadratic twists by: -3 5 -11 |