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 |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
21663644411062500 = 22 · 3 · 56 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124088,15251292] |
[a1,a2,a3,a4,a6] |
Generators |
[-1821924:16681962:4913] |
Generators of the group modulo torsion |
j |
5735339/588 |
j-invariant |
L |
13.514238639819 |
L(r)(E,1)/r! |
Ω |
0.37099285970773 |
Real period |
R |
9.1068049839018 |
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 |
5082f1 127050di1 |
Quadratic twists by: 5 -11 |