Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17568n |
Isogeny class |
Conductor |
17568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-14753746944 = -1 · 212 · 310 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 1 -3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-2752] |
[a1,a2,a3,a4,a6] |
j |
6644672/4941 |
j-invariant |
L |
2.7951549431633 |
L(r)(E,1)/r! |
Ω |
0.69878873579084 |
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 |
17568m1 35136ci1 5856d1 |
Quadratic twists by: -4 8 -3 |