Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1160b |
Isogeny class |
Conductor |
1160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
11600 = 24 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11,10] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
10061824/725 |
j-invariant |
L |
1.8618070447389 |
L(r)(E,1)/r! |
Ω |
3.9445030453092 |
Real period |
R |
0.47200040749189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2320a1 9280j1 10440z1 5800h1 |
Quadratic twists by: -4 8 -3 5 |