Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1330h |
Isogeny class |
Conductor |
1330 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-340480 = -1 · 29 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -5 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
573856191/340480 |
j-invariant |
L |
3.5083549674798 |
L(r)(E,1)/r! |
Ω |
1.776970068818 |
Real period |
R |
0.21937185406177 |
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 |
10640m1 42560bq1 11970z1 6650a1 |
Quadratic twists by: -4 8 -3 5 |