Atkin-Lehner |
3- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72891c |
Isogeny class |
Conductor |
72891 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4282962993944271 = 37 · 74 · 13 · 894 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74646,-7171983] |
[a1,a2,a3,a4,a6] |
Generators |
[-42672:165831:343] |
Generators of the group modulo torsion |
j |
63098506203628897/5875120704999 |
j-invariant |
L |
8.9688171485034 |
L(r)(E,1)/r! |
Ω |
0.2905568108956 |
Real period |
R |
7.7169221403532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24297b3 |
Quadratic twists by: -3 |