Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560s |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1998259200 = 210 · 33 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13256,-583044] |
[a1,a2,a3,a4,a6] |
Generators |
[781:21560:1] |
Generators of the group modulo torsion |
j |
251590363974436/1951425 |
j-invariant |
L |
4.417458849205 |
L(r)(E,1)/r! |
Ω |
0.44493226738117 |
Real period |
R |
4.9641924996647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120t1 |
Quadratic twists by: -4 |