Atkin-Lehner |
2+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18920a |
Isogeny class |
Conductor |
18920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
189200 = 24 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 11+ -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,9] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [-1:5:1] |
Generators of the group modulo torsion |
j |
30118144/11825 |
j-invariant |
L |
4.4003428884912 |
L(r)(E,1)/r! |
Ω |
2.9023567644334 |
Real period |
R |
0.3790318735462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37840c1 94600n1 |
Quadratic twists by: -4 5 |