Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cj |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
254936147558400 = 218 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-266120,-52746000] |
[a1,a2,a3,a4,a6] |
Generators |
[18196:2453440:1] |
Generators of the group modulo torsion |
j |
508859562767519881/62240270400 |
j-invariant |
L |
5.2131442138067 |
L(r)(E,1)/r! |
Ω |
0.21020024962097 |
Real period |
R |
6.2002117304892 |
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 |
2310j2 73920gr2 55440di2 92400gn2 |
Quadratic twists by: -4 8 -3 5 |