Atkin-Lehner |
3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975b |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.5136790599929E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22022438,-37844787094] |
[a1,a2,a3,a4,a6] |
Generators |
[-83593182780:-902194604393:36264691] |
Generators of the group modulo torsion |
j |
75596184328076883820441/4168754598395480625 |
j-invariant |
L |
1.8960686947116 |
L(r)(E,1)/r! |
Ω |
0.069931545132017 |
Real period |
R |
13.556605185344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29925n2 1995g2 69825bx2 |
Quadratic twists by: -3 5 -7 |