Atkin-Lehner |
2- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550bi |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-121550 = -1 · 2 · 52 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11+ 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33,61] |
[a1,a2,a3,a4,a6] |
Generators |
[38:29:8] |
Generators of the group modulo torsion |
j |
-159275065/4862 |
j-invariant |
L |
9.7621201589973 |
L(r)(E,1)/r! |
Ω |
3.2966846688104 |
Real period |
R |
2.9611931893428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999695818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550v1 |
Quadratic twists by: 5 |