Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200k |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-285118750000 = -1 · 24 · 58 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1883,39988] |
[a1,a2,a3,a4,a6] |
Generators |
[28:100:1] [48:250:1] |
Generators of the group modulo torsion |
j |
-2955053056/1140475 |
j-invariant |
L |
6.2249459527299 |
L(r)(E,1)/r! |
Ω |
0.91612090340187 |
Real period |
R |
3.3974478311844 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26600bb1 10640h1 |
Quadratic twists by: -4 5 |