Atkin-Lehner |
2- 3+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27984d |
Isogeny class |
Conductor |
27984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4925184 = 28 · 3 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-844,9724] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:110:1] |
Generators of the group modulo torsion |
j |
260031254992/19239 |
j-invariant |
L |
3.0325920986744 |
L(r)(E,1)/r! |
Ω |
2.3144523363905 |
Real period |
R |
2.6205699300801 |
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 |
6996a2 111936j2 83952o2 |
Quadratic twists by: -4 8 -3 |