Atkin-Lehner |
2+ 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28536a |
Isogeny class |
Conductor |
28536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3257213184 = 28 · 32 · 292 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-444,2484] |
[a1,a2,a3,a4,a6] |
Generators |
[2:40:1] |
Generators of the group modulo torsion |
j |
37897488592/12723489 |
j-invariant |
L |
3.0759790091055 |
L(r)(E,1)/r! |
Ω |
1.3032961961865 |
Real period |
R |
2.3601534463969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57072i2 85608v2 |
Quadratic twists by: -4 -3 |