Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ba |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-16628198400 = -1 · 210 · 310 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,-6968] |
[a1,a2,a3,a4,a6] |
Generators |
[38:180:1] |
Generators of the group modulo torsion |
j |
-10061824/22275 |
j-invariant |
L |
4.2981687232158 |
L(r)(E,1)/r! |
Ω |
0.49712726282367 |
Real period |
R |
2.1615032229385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680cm1 3960h1 10560bb1 |
Quadratic twists by: -4 8 -3 |