Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cb |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
4.2238627290962E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2523753016,-48800680343980] |
[a1,a2,a3,a4,a6] |
Generators |
[584084:-444679794:1] |
Generators of the group modulo torsion |
j |
434014578033107719741685694649/103121648659575000 |
j-invariant |
L |
5.7395824824246 |
L(r)(E,1)/r! |
Ω |
0.021300404061231 |
Real period |
R |
6.7364713668406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730c3 87360fl4 65520en4 109200da4 |
Quadratic twists by: -4 8 -3 5 |