Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9975l |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.3208770006895E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36663376,-1212631259227] |
[a1,a2,a3,a4,a6] |
Generators |
[11591215729390:-2594667328626727:226981000] |
Generators of the group modulo torsion |
j |
-348819718507793207040241/40453612804412841796875 |
j-invariant |
L |
6.096645316877 |
L(r)(E,1)/r! |
Ω |
0.022748719343105 |
Real period |
R |
22.33329132703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29925x5 1995d6 69825j5 |
Quadratic twists by: -3 5 -7 |