Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050be |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
456194531250 = 2 · 38 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48060005,128252108747] |
[a1,a2,a3,a4,a6] |
Generators |
[141534:-17625685:8] |
Generators of the group modulo torsion |
j |
1077773706461706278401/40050 |
j-invariant |
L |
6.8260714883753 |
L(r)(E,1)/r! |
Ω |
0.3452430983235 |
Real period |
R |
9.8858913060415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13350h3 8010b3 |
Quadratic twists by: -3 5 |