Atkin-Lehner |
2+ 3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674z |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
-4.3030993606499E+32 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18564608592,-1394258024187648] |
[a1,a2,a3,a4,a6] |
Generators |
[7327228995369263826:6246251294958243557811:9709947287704] |
Generators of the group modulo torsion |
j |
-970629698555065482913523320890625/590274260720148699041078688768 |
j-invariant |
L |
5.4228196175772 |
L(r)(E,1)/r! |
Ω |
0.0062924593547712 |
Real period |
R |
17.954094280807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016448 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33558bk3 |
Quadratic twists by: -3 |