Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920db |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
292711311222865920 = 215 · 316 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8862721,10152452639] |
[a1,a2,a3,a4,a6] |
Generators |
[1757:2772:1] [-2653:122472:1] |
Generators of the group modulo torsion |
j |
2349497892139423119368/8932840308315 |
j-invariant |
L |
12.059875556174 |
L(r)(E,1)/r! |
Ω |
0.26999453911329 |
Real period |
R |
0.46528238727677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920e4 36960bn4 |
Quadratic twists by: -4 8 |