Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ic |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-50619564620800 = -1 · 210 · 52 · 711 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 1 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5553,-375703] |
[a1,a2,a3,a4,a6] |
Generators |
[4298544:330024653:729] |
Generators of the group modulo torsion |
j |
-6288640/16807 |
j-invariant |
L |
8.9458283011776 |
L(r)(E,1)/r! |
Ω |
0.25686162061011 |
Real period |
R |
8.7068557373852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400cs1 19600x1 78400kw1 11200cd1 |
Quadratic twists by: -4 8 5 -7 |