Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392b |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.5406308761244E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29281672,-65622571028] |
[a1,a2,a3,a4,a6] |
Generators |
[8523730376550930901103185497520817450675727461083686965:-31981694398103861422680570638624587158855467439339140382:1351422705757636215627699127952262206601077477499125] |
Generators of the group modulo torsion |
j |
-280880296871140514/25701087819771 |
j-invariant |
L |
5.2332243518319 |
L(r)(E,1)/r! |
Ω |
0.032282224756355 |
Real period |
R |
81.054270443391 |
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 |
56784u5 85176bw5 2184j6 |
Quadratic twists by: -4 -3 13 |