Atkin-Lehner |
2- 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17940h |
Isogeny class |
Conductor |
17940 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-2179710000 = -1 · 24 · 36 · 54 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,-2352] |
[a1,a2,a3,a4,a6] |
j |
-13608288256/136231875 |
j-invariant |
L |
3.7248475498636 |
L(r)(E,1)/r! |
Ω |
0.62080792497726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760bg1 53820i1 89700k1 |
Quadratic twists by: -4 -3 5 |