Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2574s |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4275640512 = 26 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-926,10605] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:153:1] |
Generators of the group modulo torsion |
j |
3249025693731/158357056 |
j-invariant |
L |
4.0936154643347 |
L(r)(E,1)/r! |
Ω |
1.3667213733725 |
Real period |
R |
0.12480035385198 |
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 |
20592p2 82368c2 2574a2 64350n2 |
Quadratic twists by: -4 8 -3 5 |