Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20448j |
Isogeny class |
Conductor |
20448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16933888512 = 29 · 38 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,-1294] |
[a1,a2,a3,a4,a6] |
Generators |
[34:126:1] |
Generators of the group modulo torsion |
j |
81746504/45369 |
j-invariant |
L |
2.7599744259462 |
L(r)(E,1)/r! |
Ω |
1.0130740515199 |
Real period |
R |
2.7243560545308 |
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 |
20448m2 40896bo2 6816a2 |
Quadratic twists by: -4 8 -3 |