Atkin-Lehner |
3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16269g |
Isogeny class |
Conductor |
16269 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-403564535253 = -1 · 34 · 112 · 175 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 1 11+ 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1223,34614] |
[a1,a2,a3,a4,a6] |
Generators |
[61:403:1] |
Generators of the group modulo torsion |
j |
-202313692752625/403564535253 |
j-invariant |
L |
4.2053819069456 |
L(r)(E,1)/r! |
Ω |
0.84344744774867 |
Real period |
R |
0.12464860490629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48807l1 |
Quadratic twists by: -3 |