Atkin-Lehner |
3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16215f |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
60384 |
Modular degree for the optimal curve |
Δ |
-3490012905075 = -1 · 317 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -4 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21526,-1226129] |
[a1,a2,a3,a4,a6] |
Generators |
[1546:10931:8] |
Generators of the group modulo torsion |
j |
-1103148287494303744/3490012905075 |
j-invariant |
L |
11.299739451092 |
L(r)(E,1)/r! |
Ω |
0.19703563149017 |
Real period |
R |
1.6867267887528 |
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 |
48645i1 81075c1 |
Quadratic twists by: -3 5 |