Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4845f |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-2967318636615 = -1 · 39 · 5 · 174 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,220,82887] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:268:1] |
Generators of the group modulo torsion |
j |
1177249106879/2967318636615 |
j-invariant |
L |
3.3439134460215 |
L(r)(E,1)/r! |
Ω |
0.62951215228321 |
Real period |
R |
0.59021249565914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520br1 14535i1 24225c1 82365c1 |
Quadratic twists by: -4 -3 5 17 |