Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632a |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
537362432 = 215 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1292,17840] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:184:1] [29:69:1] |
Generators of the group modulo torsion |
j |
7278825672/16399 |
j-invariant |
L |
6.873949198215 |
L(r)(E,1)/r! |
Ω |
1.6480068746408 |
Real period |
R |
2.0855341394471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632g2 22816a2 |
Quadratic twists by: -4 8 |