Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bs |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
5.390564992119E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2748142,-1717783840] |
[a1,a2,a3,a4,a6] |
Generators |
[-986:6284:1] |
Generators of the group modulo torsion |
j |
19509797127983109193/458190464187456 |
j-invariant |
L |
4.5733321558629 |
L(r)(E,1)/r! |
Ω |
0.11742513167761 |
Real period |
R |
0.97366979506932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126fe2 6006g2 |
Quadratic twists by: -3 -7 |