Atkin-Lehner |
3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735a |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
106452225 = 38 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-148,427] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] |
Generators of the group modulo torsion |
j |
362314607689/106452225 |
j-invariant |
L |
4.2339699902009 |
L(r)(E,1)/r! |
Ω |
1.7483881355586 |
Real period |
R |
2.4216419135378 |
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 |
29205o1 48675l1 107085c1 |
Quadratic twists by: -3 5 -11 |