Atkin-Lehner |
3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4845g |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
218025 = 33 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4543,-118219] |
[a1,a2,a3,a4,a6] |
j |
10366078551442921/218025 |
j-invariant |
L |
3.4892057031434 |
L(r)(E,1)/r! |
Ω |
0.58153428385723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520ca1 14535e1 24225a1 82365a1 |
Quadratic twists by: -4 -3 5 17 |