Atkin-Lehner |
2- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5270f |
Isogeny class |
Conductor |
5270 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
105400000 = 26 · 55 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 0 0 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177,801] |
[a1,a2,a3,a4,a6] |
Generators |
[1:24:1] |
Generators of the group modulo torsion |
j |
610015948641/105400000 |
j-invariant |
L |
3.7799757975061 |
L(r)(E,1)/r! |
Ω |
1.796161510502 |
Real period |
R |
0.070149144446919 |
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 |
42160u1 47430i1 26350c1 89590l1 |
Quadratic twists by: -4 -3 5 17 |