Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400b |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
22800 = 24 · 3 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 4 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
160000/57 |
j-invariant |
L |
4.484664852073 |
L(r)(E,1)/r! |
Ω |
2.892752944017 |
Real period |
R |
0.77515517897036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22800bg1 91200dw1 34200cj1 11400bm1 |
Quadratic twists by: -4 8 -3 5 |