Atkin-Lehner |
2- 3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938u |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1716895937765736 = -1 · 23 · 310 · 74 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9845,-1956967] |
[a1,a2,a3,a4,a6] |
Generators |
[1004:-32443:1] |
Generators of the group modulo torsion |
j |
105528099415772879/1716895937765736 |
j-invariant |
L |
10.687596474208 |
L(r)(E,1)/r! |
Ω |
0.23042251505723 |
Real period |
R |
0.19326085371825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86814r1 |
Quadratic twists by: -3 |