Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510dx |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
Δ |
9.4549021875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1299962,326805049] |
[a1,a2,a3,a4,a6] |
Generators |
[157:11171:1] |
Generators of the group modulo torsion |
j |
971613907622044623/378125000000000 |
j-invariant |
L |
10.325363936319 |
L(r)(E,1)/r! |
Ω |
0.17305564765868 |
Real period |
R |
0.2367658436365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390g2 48510cu2 |
Quadratic twists by: -3 -7 |