Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11280r |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3053721600000000 = 217 · 33 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63936,5604660] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1410:1] |
Generators of the group modulo torsion |
j |
7056785934088129/745537500000 |
j-invariant |
L |
5.2333241977687 |
L(r)(E,1)/r! |
Ω |
0.43640651772797 |
Real period |
R |
1.9986426971098 |
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 |
1410j2 45120ca2 33840cq2 56400bq2 |
Quadratic twists by: -4 8 -3 5 |