Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dq |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2.695021875E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76182627,-255814479646] |
[a1,a2,a3,a4,a6] |
Generators |
[-5047:11000:1] |
Generators of the group modulo torsion |
j |
16375858190544687071329/9025573730468750 |
j-invariant |
L |
6.7121883308724 |
L(r)(E,1)/r! |
Ω |
0.051103416455557 |
Real period |
R |
1.8242388551336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190x6 7280o6 |
Quadratic twists by: -4 -3 |