Atkin-Lehner |
2- 3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bv |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1297765800 = -1 · 23 · 38 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1382,20189] |
[a1,a2,a3,a4,a6] |
Generators |
[27:31:1] |
Generators of the group modulo torsion |
j |
-400152624409/1780200 |
j-invariant |
L |
10.198465027052 |
L(r)(E,1)/r! |
Ω |
1.5357835072367 |
Real period |
R |
0.55338013598711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29670o1 |
Quadratic twists by: -3 |