Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512bn |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
655250340864 = 210 · 3 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5685584,-5219975664] |
[a1,a2,a3,a4,a6] |
Generators |
[1769349:452636920:27] |
Generators of the group modulo torsion |
j |
168717772351634692/5439 |
j-invariant |
L |
5.204613854643 |
L(r)(E,1)/r! |
Ω |
0.097770036708816 |
Real period |
R |
13.308304951705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024t4 6216m4 |
Quadratic twists by: -4 -7 |