Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787h |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30638089873083 = 3 · 78 · 116 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4648459,-3859488002] |
[a1,a2,a3,a4,a6] |
Generators |
[-32977502289243127272:16448461131518615671:26482778298869248] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
5.3921810789408 |
L(r)(E,1)/r! |
Ω |
0.10281874329579 |
Real period |
R |
26.221780708934 |
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 |
53361bo6 2541l5 147a5 |
Quadratic twists by: -3 -7 -11 |