Atkin-Lehner |
2+ 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130p |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
39748385577600000 = 210 · 314 · 55 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145748,-19160494] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:1537:1] |
Generators of the group modulo torsion |
j |
342394863219497382841/39748385577600000 |
j-invariant |
L |
4.1715289581891 |
L(r)(E,1)/r! |
Ω |
0.24619254055547 |
Real period |
R |
0.24205961194768 |
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 |
89040bt1 33390bh1 55650ck1 77910g1 |
Quadratic twists by: -4 -3 5 -7 |