Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720df |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
420249600 = 215 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2412,-45584] |
[a1,a2,a3,a4,a6] |
j |
1754049816/475 |
j-invariant |
L |
2.7250362130445 |
L(r)(E,1)/r! |
Ω |
0.68125905297639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cz2 27360p2 54720cw2 |
Quadratic twists by: -4 8 -3 |