Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65824h |
Isogeny class |
Conductor |
65824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1575563264 = -1 · 212 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -3 -1 -2 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,1936] |
[a1,a2,a3,a4,a6] |
Generators |
[16:68:1] [0:44:1] |
Generators of the group modulo torsion |
j |
-13824/289 |
j-invariant |
L |
5.3182935922558 |
L(r)(E,1)/r! |
Ω |
1.2636467528616 |
Real period |
R |
0.52608586816355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65824g1 65824b1 |
Quadratic twists by: -4 -11 |