Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950bj |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
792000 |
Modular degree for the optimal curve |
Δ |
-41196097112500000 = -1 · 25 · 58 · 113 · 195 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 11+ 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9883,-9760459] |
[a1,a2,a3,a4,a6] |
Generators |
[205:819:1] |
Generators of the group modulo torsion |
j |
205318125/79235168 |
j-invariant |
L |
6.011374442955 |
L(r)(E,1)/r! |
Ω |
0.16980493568256 |
Real period |
R |
3.5401647030635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950bw1 114950dc1 |
Quadratic twists by: 5 -11 |