Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424a |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-928873216 = -1 · 28 · 193 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 -5 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,76,1444] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-46:1] [0:38:1] |
Generators of the group modulo torsion |
j |
27648/529 |
j-invariant |
L |
7.3999798682223 |
L(r)(E,1)/r! |
Ω |
1.1727849930757 |
Real period |
R |
0.39435936211312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66424f1 |
Quadratic twists by: -19 |