Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5814j |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
18324983808 = 212 · 36 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3651,-83755] |
[a1,a2,a3,a4,a6] |
j |
7384117376817/25137152 |
j-invariant |
L |
1.2285983115692 |
L(r)(E,1)/r! |
Ω |
0.61429915578462 |
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 |
46512ba1 646d1 98838r1 110466bs1 |
Quadratic twists by: -4 -3 17 -19 |