Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bq |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
195373301760000 = 222 · 32 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89656,10281044] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3150:1] |
Generators of the group modulo torsion |
j |
19458380202497209/47698560000 |
j-invariant |
L |
5.1486643219658 |
L(r)(E,1)/r! |
Ω |
0.5672860621158 |
Real period |
R |
2.2689894331102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2730d2 87360fd2 65520dm2 109200dz2 |
Quadratic twists by: -4 8 -3 5 |