Atkin-Lehner |
3+ 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735d |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5596087016025 = 312 · 52 · 112 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9990,362922] |
[a1,a2,a3,a4,a6] |
j |
110261245485137761/5596087016025 |
j-invariant |
L |
0.75094705671983 |
L(r)(E,1)/r! |
Ω |
0.75094705671983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29205i2 48675k2 107085g2 |
Quadratic twists by: -3 5 -11 |