Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28600t |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
40898000 = 24 · 53 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-263,-1528] |
[a1,a2,a3,a4,a6] |
Generators |
[37:195:1] |
Generators of the group modulo torsion |
j |
1009743872/20449 |
j-invariant |
L |
6.6209269431857 |
L(r)(E,1)/r! |
Ω |
1.1866091835699 |
Real period |
R |
1.39492577566 |
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 |
57200u1 28600k1 |
Quadratic twists by: -4 5 |