Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126er |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.1235058432024E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19139630,-32209520619] |
[a1,a2,a3,a4,a6] |
j |
9040834853442015625/4807849294248 |
j-invariant |
L |
1.7323712532305 |
L(r)(E,1)/r! |
Ω |
0.072182186600319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042p4 18018bm4 |
Quadratic twists by: -3 -7 |