Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560g |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1052841796875000000 = 26 · 34 · 516 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273956,24768006] |
[a1,a2,a3,a4,a6] |
j |
35529391776305786176/16450653076171875 |
j-invariant |
L |
0.74219385323953 |
L(r)(E,1)/r! |
Ω |
0.24739795107984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10560o1 5280o3 31680bg1 52800cn1 |
Quadratic twists by: -4 8 -3 5 |