Atkin-Lehner |
2- 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386r |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-22730079427887104 = -1 · 218 · 78 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 1 3 7- -4 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-116474,-16942108] |
[a1,a2,a3,a4,a6] |
Generators |
[1124:35110:1] |
Generators of the group modulo torsion |
j |
-1485329054790673/193202487296 |
j-invariant |
L |
15.358906734346 |
L(r)(E,1)/r! |
Ω |
0.12828378803356 |
Real period |
R |
0.83143065871451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198i1 |
Quadratic twists by: -7 |