Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cy |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-454410000000 = -1 · 27 · 35 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,662,-31708] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-166:1] |
Generators of the group modulo torsion |
j |
2053225511/29082240 |
j-invariant |
L |
9.8941123240722 |
L(r)(E,1)/r! |
Ω |
0.45910101596349 |
Real period |
R |
0.15393612392235 |
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 |
84150cq1 5610b1 |
Quadratic twists by: -3 5 |