Atkin-Lehner |
3- 5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735q |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
5.2576895393389E+20 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6329228,-6029201527] |
[a1,a2,a3,a4,a6] |
Generators |
[4419:-230900:1] |
Generators of the group modulo torsion |
j |
28039859655954029370075961/525768953933887604325 |
j-invariant |
L |
8.9056950021693 |
L(r)(E,1)/r! |
Ω |
0.095291987283685 |
Real period |
R |
1.1125823022416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205u2 |
Quadratic twists by: -3 |