Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782g |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1561970981048418304 = -1 · 218 · 78 · 13 · 433 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20358,60121772] |
[a1,a2,a3,a4,a6] |
Generators |
[445:12321:1] |
Generators of the group modulo torsion |
j |
161873362343/270949679104 |
j-invariant |
L |
3.6601917338028 |
L(r)(E,1)/r! |
Ω |
0.20963602881209 |
Real period |
R |
0.9699858671862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782r2 |
Quadratic twists by: -7 |