Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bv |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.6622944274349E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673490512,-6681185529920] |
[a1,a2,a3,a4,a6] |
Generators |
[6934929440890019997252263185080:1970219450431973001687275966056640:77821467703738788715549137] |
Generators of the group modulo torsion |
j |
70108386184777836280897/552468975892674624 |
j-invariant |
L |
5.3345312258804 |
L(r)(E,1)/r! |
Ω |
0.029649887928843 |
Real period |
R |
44.979354042429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4998bm3 119952gs4 5712t3 |
Quadratic twists by: -4 -3 -7 |