Atkin-Lehner |
2- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
53320a |
Isogeny class |
Conductor |
53320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-170624000 = -1 · 210 · 53 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 5 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,1040] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:4:1] |
Generators of the group modulo torsion |
j |
-592143556/166625 |
j-invariant |
L |
7.3013020331241 |
L(r)(E,1)/r! |
Ω |
1.7171347358972 |
Real period |
R |
2.1260131428402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106640a1 |
Quadratic twists by: -4 |