Atkin-Lehner |
3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5073a |
Isogeny class |
Conductor |
5073 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-120549699 = -1 · 32 · 19 · 893 |
Discriminant |
Eigenvalues |
1 3+ 3 -2 1 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,124,63] |
[a1,a2,a3,a4,a6] |
Generators |
[2:17:1] |
Generators of the group modulo torsion |
j |
208211532983/120549699 |
j-invariant |
L |
4.3904674492771 |
L(r)(E,1)/r! |
Ω |
1.1155464397114 |
Real period |
R |
1.9678550766623 |
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 |
81168cl1 15219e1 126825l1 96387n1 |
Quadratic twists by: -4 -3 5 -19 |