Atkin-Lehner |
3- 5- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
85905g |
Isogeny class |
Conductor |
85905 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-996255318375 = -1 · 37 · 53 · 232 · 832 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -6 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5657,172064] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:526:1] |
Generators of the group modulo torsion |
j |
-27458875316809/1366605375 |
j-invariant |
L |
4.747442146442 |
L(r)(E,1)/r! |
Ω |
0.8687271615874 |
Real period |
R |
0.45540210555005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28635i1 |
Quadratic twists by: -3 |