Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16960h |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-70225000000 = -1 · 26 · 58 · 532 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11040,450362] |
[a1,a2,a3,a4,a6] |
Generators |
[59:30:1] |
Generators of the group modulo torsion |
j |
-2325360526755904/1097265625 |
j-invariant |
L |
7.2521294893556 |
L(r)(E,1)/r! |
Ω |
1.0797654911102 |
Real period |
R |
1.679098273899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16960i1 8480d2 84800h1 |
Quadratic twists by: -4 8 5 |