Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960r |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.0016002636181E+27 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15821104,-1522481034304] |
[a1,a2,a3,a4,a6] |
Generators |
[84483014:14558314875:2744] |
Generators of the group modulo torsion |
j |
18547687612920431/42417997492000000 |
j-invariant |
L |
7.7833201391205 |
L(r)(E,1)/r! |
Ω |
0.022920344687898 |
Real period |
R |
9.432813517525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370k2 50960bw2 |
Quadratic twists by: -4 -7 |