Atkin-Lehner |
3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16575k |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-218841796875 = -1 · 3 · 59 · 133 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1292,-13256] |
[a1,a2,a3,a4,a6] |
j |
122023936/112047 |
j-invariant |
L |
1.0921922840581 |
L(r)(E,1)/r! |
Ω |
0.54609614202904 |
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 |
49725u1 16575d1 |
Quadratic twists by: -3 5 |