Atkin-Lehner |
2- 3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bz |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-304780320000 = -1 · 28 · 37 · 54 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 5 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28967,1904991] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-96:1] |
Generators of the group modulo torsion |
j |
-3687165962832169/418080000 |
j-invariant |
L |
12.74097609447 |
L(r)(E,1)/r! |
Ω |
0.93144957179369 |
Real period |
R |
0.10686448169081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130c1 |
Quadratic twists by: -3 |