Atkin-Lehner |
3- 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
105225l |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-1019238739013671875 = -1 · 32 · 516 · 233 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 -3 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-309758,82131269] |
[a1,a2,a3,a4,a6] |
Generators |
[34884480918:2281045463297:322828856] |
Generators of the group modulo torsion |
j |
-210364611588960256/65231279296875 |
j-invariant |
L |
18.683812902686 |
L(r)(E,1)/r! |
Ω |
0.26231858889027 |
Real period |
R |
17.806413336616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21045d1 |
Quadratic twists by: 5 |