Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hg |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1561324584960000 = 218 · 34 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31425,-1002177] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:960:1] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
7.1261608224489 |
L(r)(E,1)/r! |
Ω |
0.37432690852013 |
Real period |
R |
1.1898291072988 |
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 |
47040bl3 11760bq3 960i4 |
Quadratic twists by: -4 8 -7 |