Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bt |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-193951306137600 = -1 · 214 · 316 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43505,3570897] |
[a1,a2,a3,a4,a6] |
Generators |
[259:3100:1] |
Generators of the group modulo torsion |
j |
-555816294307024/11837848275 |
j-invariant |
L |
4.5500736258256 |
L(r)(E,1)/r! |
Ω |
0.56604894420358 |
Real period |
R |
4.0191521178681 |
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 |
10560be2 2640h2 31680cw2 52800gi2 |
Quadratic twists by: -4 8 -3 5 |