Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280r |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7341062400 = 28 · 34 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1436,20064] |
[a1,a2,a3,a4,a6] |
Generators |
[4:120:1] |
Generators of the group modulo torsion |
j |
1280116410064/28676025 |
j-invariant |
L |
6.0686063987116 |
L(r)(E,1)/r! |
Ω |
1.3211589622064 |
Real period |
R |
1.1483490201241 |
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 |
28560b2 114240cg2 42840cm2 71400cl2 |
Quadratic twists by: -4 8 -3 5 |