Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130c |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
269256960 = 28 · 34 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-318,1908] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:58:1] |
Generators of the group modulo torsion |
j |
3573857582569/269256960 |
j-invariant |
L |
2.2023455868554 |
L(r)(E,1)/r! |
Ω |
1.7049826730171 |
Real period |
R |
0.64585570918389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040ch1 33390bs1 55650dh1 77910bf1 |
Quadratic twists by: -4 -3 5 -7 |