Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dk |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
6.5534790384141E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11231382938,-458135277511719] |
[a1,a2,a3,a4,a6] |
Generators |
[-61099:14511:1] |
Generators of the group modulo torsion |
j |
1826870018430810435423307849/7641104625000000000 |
j-invariant |
L |
8.5864117439656 |
L(r)(E,1)/r! |
Ω |
0.014665313622353 |
Real period |
R |
2.710607304124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170m7 6930bl7 |
Quadratic twists by: -3 -7 |