Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600ck |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-5.4841522554E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-687408,-1148097312] |
[a1,a2,a3,a4,a6] |
Generators |
[1587:41958:1] |
Generators of the group modulo torsion |
j |
-1122582097392338/17137975798125 |
j-invariant |
L |
7.8584264686376 |
L(r)(E,1)/r! |
Ω |
0.070383745637178 |
Real period |
R |
3.4890985826472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200g3 10920a4 |
Quadratic twists by: -4 5 |