Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
9928a |
Isogeny class |
Conductor |
9928 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-2541568 = -1 · 211 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ -2 0 0 -5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
-31250/1241 |
j-invariant |
L |
2.6225685098222 |
L(r)(E,1)/r! |
Ω |
1.1224072203837 |
Real period |
R |
2.3365570554024 |
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 |
19856a1 79424a1 89352q1 |
Quadratic twists by: -4 8 -3 |