Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050dm |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
128592940608000000 = 212 · 37 · 56 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-166663,19687817] |
[a1,a2,a3,a4,a6] |
Generators |
[86:2405:1] |
Generators of the group modulo torsion |
j |
32765849647039657/8229948198912 |
j-invariant |
L |
10.298159706343 |
L(r)(E,1)/r! |
Ω |
0.30879157439535 |
Real period |
R |
0.1985111472055 |
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 |
84150bc1 1122c1 |
Quadratic twists by: -3 5 |