Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590s |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13216 |
Modular degree for the optimal curve |
Δ |
-1814531250 = -1 · 2 · 3 · 57 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29,2051] |
[a1,a2,a3,a4,a6] |
Generators |
[62:389:8] |
Generators of the group modulo torsion |
j |
2691419471/1814531250 |
j-invariant |
L |
8.1214593282095 |
L(r)(E,1)/r! |
Ω |
1.1585601995819 |
Real period |
R |
3.50497942668 |
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 |
49770t1 82950d1 116130co1 |
Quadratic twists by: -3 5 -7 |