Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dl |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
9961576128 = 26 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9555,-359464] |
[a1,a2,a3,a4,a6] |
Generators |
[80647490:3648929599:39304] |
Generators of the group modulo torsion |
j |
474552000/49 |
j-invariant |
L |
6.1618469002499 |
L(r)(E,1)/r! |
Ω |
0.48288595355992 |
Real period |
R |
12.760460010948 |
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 |
28224dn1 14112bi2 28224do1 4032v1 |
Quadratic twists by: -4 8 -3 -7 |