Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600s |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1.4854831453616E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21873633,39324830863] |
[a1,a2,a3,a4,a6] |
Generators |
[3123:-38500:1] |
Generators of the group modulo torsion |
j |
18084500649301589056/23210674146275 |
j-invariant |
L |
4.8485704770412 |
L(r)(E,1)/r! |
Ω |
0.15072755538303 |
Real period |
R |
0.2010486098918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600d2 123200ft1 12320h2 |
Quadratic twists by: -4 8 5 |