Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600cb |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2816000000000 = -1 · 217 · 59 · 11 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 11+ -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6700,226000] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:500:1] [-54:656:1] |
Generators of the group modulo torsion |
j |
-16241202/1375 |
j-invariant |
L |
4.7229977656927 |
L(r)(E,1)/r! |
Ω |
0.78872283567006 |
Real period |
R |
0.37425993898724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17600t1 4400d1 3520v1 |
Quadratic twists by: -4 8 5 |