Atkin-Lehner |
2- 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550ck |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
-30792440438784000 = -1 · 216 · 39 · 53 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184403,31611297] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:-6191:1] [238:-1223:1] |
Generators of the group modulo torsion |
j |
-5547761634556375109/246339523510272 |
j-invariant |
L |
15.336456996076 |
L(r)(E,1)/r! |
Ω |
0.36770976325411 |
Real period |
R |
0.14481961621233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65550r1 |
Quadratic twists by: 5 |