Atkin-Lehner |
2+ 3- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010z |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
6569939362500 = 22 · 312 · 55 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-579654,170008960] |
[a1,a2,a3,a4,a6] |
Generators |
[446:-448:1] |
Generators of the group modulo torsion |
j |
29546300918712963169/9012262500 |
j-invariant |
L |
3.1707772546491 |
L(r)(E,1)/r! |
Ω |
0.60336827849521 |
Real period |
R |
0.52551275335273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670s1 |
Quadratic twists by: -3 |