Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hn |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4117715000000 = -1 · 26 · 57 · 77 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6533,223313] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1225:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
5.8364157831061 |
L(r)(E,1)/r! |
Ω |
0.75612566055306 |
Real period |
R |
0.48242773047727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bq1 19600ci1 15680cl1 11200cn1 |
Quadratic twists by: -4 8 5 -7 |