Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244n |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
996091229952 = 28 · 38 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11415,466958] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:882:1] [-17:810:1] |
Generators of the group modulo torsion |
j |
881422162000/5337423 |
j-invariant |
L |
9.7291186217111 |
L(r)(E,1)/r! |
Ω |
0.88318780761237 |
Real period |
R |
1.8359852302205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748c2 |
Quadratic twists by: -3 |