Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cw |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
306361958400 = 215 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21708,1230768] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1485:1] |
Generators of the group modulo torsion |
j |
1754049816/475 |
j-invariant |
L |
5.0074973407226 |
L(r)(E,1)/r! |
Ω |
0.94661142705448 |
Real period |
R |
2.6449592713884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cq2 27360d2 54720df2 |
Quadratic twists by: -4 8 -3 |