Atkin-Lehner |
3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5073b |
Isogeny class |
Conductor |
5073 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-445018779 = -1 · 36 · 193 · 89 |
Discriminant |
Eigenvalues |
-1 3+ -1 2 1 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-656,-6820] |
[a1,a2,a3,a4,a6] |
Generators |
[30:25:1] |
Generators of the group modulo torsion |
j |
-31223142183169/445018779 |
j-invariant |
L |
2.0398150398155 |
L(r)(E,1)/r! |
Ω |
0.47127245967137 |
Real period |
R |
2.1641568459547 |
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 |
81168ck1 15219d1 126825k1 96387m1 |
Quadratic twists by: -4 -3 5 -19 |