Atkin-Lehner |
3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99975m |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9.5343589782715E+18 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,329749,-129426727] |
[a1,a2,a3,a4,a6] |
Generators |
[5974:181767:8] [11467779363279847276:-558570924597405576687:5211189636774848] |
Generators of the group modulo torsion |
j |
253779209866424159/610198974609375 |
j-invariant |
L |
16.85727085815 |
L(r)(E,1)/r! |
Ω |
0.11898491861661 |
Real period |
R |
141.67569347727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19995e4 |
Quadratic twists by: 5 |