Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11040a |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1295457587712000 = -1 · 212 · 314 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66401,-6787599] |
[a1,a2,a3,a4,a6] |
Generators |
[39665:7899444:1] |
Generators of the group modulo torsion |
j |
-7904859665241664/316273825125 |
j-invariant |
L |
3.2839313412175 |
L(r)(E,1)/r! |
Ω |
0.14835706497524 |
Real period |
R |
5.5338303938635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11040g2 22080cw1 33120bk2 55200cj2 |
Quadratic twists by: -4 8 -3 5 |