Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fb |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
11211374592000000 = 228 · 35 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72033,-5400063] |
[a1,a2,a3,a4,a6] |
Generators |
[-234223:1783500:1331] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
4.7707911686353 |
L(r)(E,1)/r! |
Ω |
0.29734251901088 |
Real period |
R |
8.0223830491958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ce1 13200cf1 2112bd1 |
Quadratic twists by: -4 8 5 |