Atkin-Lehner |
2- 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28380b |
Isogeny class |
Conductor |
28380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1702800 = 24 · 32 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126,585] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-5:1] [-6:33:1] |
Generators of the group modulo torsion |
j |
13936624384/106425 |
j-invariant |
L |
6.2488685056913 |
L(r)(E,1)/r! |
Ω |
2.6703638410445 |
Real period |
R |
0.19500677553264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520bk1 85140r1 |
Quadratic twists by: -4 -3 |