Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966y |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
1568 |
Product of Tamagawa factors cp |
Δ |
-2.207569585837E+27 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-519401999,-5086042162217] |
[a1,a2,a3,a4,a6] |
j |
-787305470517462703546487691/112156154338106948736128 |
j-invariant |
L |
6.1498316508991 |
L(r)(E,1)/r! |
Ω |
0.01568834604796 |
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 |
42966e2 |
Quadratic twists by: -3 |