Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fh |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-171421608960 = -1 · 210 · 314 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,20536] |
[a1,a2,a3,a4,a6] |
Generators |
[30:176:1] |
Generators of the group modulo torsion |
j |
-24918016/229635 |
j-invariant |
L |
5.592302023417 |
L(r)(E,1)/r! |
Ω |
0.86913383232462 |
Real period |
R |
3.2171696782644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160cb1 5040l1 6720ca1 100800mc1 |
Quadratic twists by: -4 8 -3 5 |