Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bp |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-1.5016857130672E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4901706,4159730308] |
[a1,a2,a3,a4,a6] |
Generators |
[272:74114:1] |
Generators of the group modulo torsion |
j |
442746922510313/510468750000 |
j-invariant |
L |
5.0715905832627 |
L(r)(E,1)/r! |
Ω |
0.083071502920615 |
Real period |
R |
0.76313633510866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bi2 48510w2 |
Quadratic twists by: -3 -7 |