Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560g |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1173405402132480000 = 215 · 316 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35502081,-81407725119] |
[a1,a2,a3,a4,a6] |
j |
151020262560470148771848/35809491031875 |
j-invariant |
L |
0.74219385323953 |
L(r)(E,1)/r! |
Ω |
0.061849487769961 |
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 |
10560o3 5280o2 31680bg4 52800cn4 |
Quadratic twists by: -4 8 -3 5 |