Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537c |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
13541176209 = 3 · 11 · 177 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3474,77166] |
[a1,a2,a3,a4,a6] |
Generators |
[291:4734:1] |
Generators of the group modulo torsion |
j |
192100033/561 |
j-invariant |
L |
1.7851679762833 |
L(r)(E,1)/r! |
Ω |
1.2612836885234 |
Real period |
R |
5.661432055379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28611s1 104907l1 561d1 |
Quadratic twists by: -3 -11 17 |