Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040er |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-344272070983680 = -1 · 214 · 36 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7121,924561] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:1029:1] |
Generators of the group modulo torsion |
j |
-20720464/178605 |
j-invariant |
L |
4.1532492816927 |
L(r)(E,1)/r! |
Ω |
0.46185979428779 |
Real period |
R |
2.2481115119051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cu2 11760ct2 6720cj2 |
Quadratic twists by: -4 8 -7 |