Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048bf |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-243116158976 = -1 · 212 · 172 · 593 |
Discriminant |
Eigenvalues |
2- -3 1 -1 0 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1013,20218] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-472:1] [29:272:1] |
Generators of the group modulo torsion |
j |
28066748319/59354531 |
j-invariant |
L |
4.7857305311012 |
L(r)(E,1)/r! |
Ω |
0.68453327348813 |
Real period |
R |
0.29130130925524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003c1 64192ck1 |
Quadratic twists by: -4 8 |