Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560q |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3284582400000000 = 220 · 36 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10949441,-13949212641] |
[a1,a2,a3,a4,a6] |
j |
553808571467029327441/12529687500 |
j-invariant |
L |
1.9918783293694 |
L(r)(E,1)/r! |
Ω |
0.082994930390394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10560bo5 330c5 31680bu6 52800f6 |
Quadratic twists by: -4 8 -3 5 |