Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18060h |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-234837792000 = -1 · 28 · 34 · 53 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-236,-23436] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1218:1] |
Generators of the group modulo torsion |
j |
-5702413264/917335125 |
j-invariant |
L |
5.4747040689092 |
L(r)(E,1)/r! |
Ω |
0.44088770775339 |
Real period |
R |
3.1043642023988 |
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 |
72240bu2 54180r2 90300r2 126420q2 |
Quadratic twists by: -4 -3 5 -7 |