Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16695k |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-417627405444375 = -1 · 37 · 54 · 78 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11430,860575] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:715:1] |
Generators of the group modulo torsion |
j |
226523624554079/572877099375 |
j-invariant |
L |
5.0351855485406 |
L(r)(E,1)/r! |
Ω |
0.37129836646179 |
Real period |
R |
1.695127828235 |
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 |
5565c1 83475u1 116865bd1 |
Quadratic twists by: -3 5 -7 |