Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368i |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-4861296 = -1 · 24 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11+ -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3220,-71413] |
[a1,a2,a3,a4,a6] |
j |
-230837419975936/303831 |
j-invariant |
L |
2.535037014145 |
L(r)(E,1)/r! |
Ω |
0.31687962676813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8184c1 65472bs1 49104t1 |
Quadratic twists by: -4 8 -3 |