Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568bc |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-13175488512 = -1 · 217 · 34 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,128,-5452] |
[a1,a2,a3,a4,a6] |
j |
56181887/3216672 |
j-invariant |
L |
4.8156124042656 |
L(r)(E,1)/r! |
Ω |
0.60195155040591 |
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 |
7446h1 |
Quadratic twists by: -4 |