Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880z |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
184832000 = 212 · 53 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -3 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1621,24579] |
[a1,a2,a3,a4,a6] |
Generators |
[22:7:1] |
Generators of the group modulo torsion |
j |
318767104/125 |
j-invariant |
L |
3.7356345006258 |
L(r)(E,1)/r! |
Ω |
1.7664203542192 |
Real period |
R |
2.1148049453252 |
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 |
1805b1 115520cw1 28880q1 |
Quadratic twists by: -4 8 -19 |