Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050hd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1592277864213093750 = 2 · 32 · 56 · 74 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-456838,-102209458] |
[a1,a2,a3,a4,a6] |
Generators |
[-506925364020:-2568671285083:1061208000] |
Generators of the group modulo torsion |
j |
286191179/43218 |
j-invariant |
L |
13.514238639819 |
L(r)(E,1)/r! |
Ω |
0.18549642985386 |
Real period |
R |
18.213609967804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082f2 127050di2 |
Quadratic twists by: 5 -11 |