Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9975l |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.3371074367364E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13155626,5271054023] |
[a1,a2,a3,a4,a6] |
Generators |
[50907:11431546:1] |
Generators of the group modulo torsion |
j |
16115292555782480096401/8557487595112640625 |
j-invariant |
L |
6.096645316877 |
L(r)(E,1)/r! |
Ω |
0.09099487737242 |
Real period |
R |
5.5833228317576 |
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 |
29925x2 1995d2 69825j2 |
Quadratic twists by: -3 5 -7 |