Atkin-Lehner |
2- 3- 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270bd |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
909646302060000 = 25 · 312 · 54 · 23 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27608,1012731] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1101:1] |
Generators of the group modulo torsion |
j |
3192171934718521/1247800140000 |
j-invariant |
L |
10.898152283475 |
L(r)(E,1)/r! |
Ω |
0.4529880719841 |
Real period |
R |
1.2029182218899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000014838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090d2 |
Quadratic twists by: -3 |