Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040eg |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1734805094400 = 216 · 32 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-27999] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:196:1] |
Generators of the group modulo torsion |
j |
470596/225 |
j-invariant |
L |
4.0443916563789 |
L(r)(E,1)/r! |
Ω |
0.66543246313787 |
Real period |
R |
1.5194598552127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040ci2 11760bf2 960p2 |
Quadratic twists by: -4 8 -7 |