Atkin-Lehner |
3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975b |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.0294508102078E+25 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15186937,-152672918344] |
[a1,a2,a3,a4,a6] |
Generators |
[1539059773375529252231:-87899213170503791640623:280058730962295979] |
Generators of the group modulo torsion |
j |
24792153857163653065559/658848518533019475675 |
j-invariant |
L |
1.8960686947116 |
L(r)(E,1)/r! |
Ω |
0.034965772566008 |
Real period |
R |
27.113210370688 |
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 |
29925n3 1995g4 69825bx3 |
Quadratic twists by: -3 5 -7 |