Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480y |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17055360000 = 210 · 34 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568520,-164804100] |
[a1,a2,a3,a4,a6] |
Generators |
[7846:691600:1] |
Generators of the group modulo torsion |
j |
19845487032197893924/16655625 |
j-invariant |
L |
5.5511710609419 |
L(r)(E,1)/r! |
Ω |
0.17386535602779 |
Real period |
R |
7.9819970863701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960v4 118440u4 |
Quadratic twists by: -4 -3 |