Atkin-Lehner |
3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8745i |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
60712069322025 = 310 · 52 · 114 · 532 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11919,-333083] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:423:1] |
Generators of the group modulo torsion |
j |
187236619721140969/60712069322025 |
j-invariant |
L |
5.0651181298682 |
L(r)(E,1)/r! |
Ω |
0.4687043482194 |
Real period |
R |
1.0806637807203 |
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 |
26235j2 43725h2 96195t2 |
Quadratic twists by: -3 5 -11 |