Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72842z |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
Δ |
6.800705775571E+31 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13549956252,-459502875231619] |
[a1,a2,a3,a4,a6] |
Generators |
[-2434929:146696771:27] |
Generators of the group modulo torsion |
j |
155303513211622323137482757593/38388211162759579886944256 |
j-invariant |
L |
16.581503557642 |
L(r)(E,1)/r! |
Ω |
0.014246145897105 |
Real period |
R |
5.5425194516668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622b2 |
Quadratic twists by: -11 |