Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cn |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-318860392660992 = -1 · 220 · 32 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10872,-967212] |
[a1,a2,a3,a4,a6] |
Generators |
[3985578:67445760:12167] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
7.820789991428 |
L(r)(E,1)/r! |
Ω |
0.2186887178595 |
Real period |
R |
8.9405503721593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098b1 336d1 |
Quadratic twists by: -4 13 |