Atkin-Lehner |
3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575d |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-14005875 = -1 · 3 · 53 · 133 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,52,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[26:61:8] |
Generators of the group modulo torsion |
j |
122023936/112047 |
j-invariant |
L |
7.5116668045473 |
L(r)(E,1)/r! |
Ω |
1.2211080958273 |
Real period |
R |
1.0252527779503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49725z1 16575k1 |
Quadratic twists by: -3 5 |