Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506bd |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-75871137410933832 = -1 · 23 · 32 · 116 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34078,-13486045] |
[a1,a2,a3,a4,a6] |
Generators |
[491:9159:1] |
Generators of the group modulo torsion |
j |
-7357983625/127552392 |
j-invariant |
L |
9.2770550725825 |
L(r)(E,1)/r! |
Ω |
0.14801616773015 |
Real period |
R |
3.4819976518892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66a4 |
Quadratic twists by: 29 |