Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6270i |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5244974289101250 = -1 · 2 · 38 · 54 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36009,-4368554] |
[a1,a2,a3,a4,a6] |
Generators |
[308:3558:1] |
Generators of the group modulo torsion |
j |
-5163445021621121929/5244974289101250 |
j-invariant |
L |
3.1932378233541 |
L(r)(E,1)/r! |
Ω |
0.16649491797117 |
Real period |
R |
0.39956647804749 |
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 |
50160bd2 18810ba2 31350bl2 68970cp2 |
Quadratic twists by: -4 -3 5 -11 |