Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11280h |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
318096000000 = 210 · 32 · 56 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47000,-3937500] |
[a1,a2,a3,a4,a6] |
Generators |
[550:11700:1] |
Generators of the group modulo torsion |
j |
11213122573692004/310640625 |
j-invariant |
L |
5.4094179988198 |
L(r)(E,1)/r! |
Ω |
0.3242463097445 |
Real period |
R |
2.7805086422738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5640f2 45120bt2 33840k2 56400f2 |
Quadratic twists by: -4 8 -3 5 |