Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bu |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
732250557228960000 = 28 · 38 · 54 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549054,151220628] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:13754:1] |
Generators of the group modulo torsion |
j |
213429068128081/8537760000 |
j-invariant |
L |
5.0934897949809 |
L(r)(E,1)/r! |
Ω |
0.28251110163602 |
Real period |
R |
1.1268339910985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170bx2 6930g2 |
Quadratic twists by: -3 -7 |