Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8850bh |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-4129056000 = -1 · 28 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1448,21312] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:184:1] |
Generators of the group modulo torsion |
j |
-2686198671701/33032448 |
j-invariant |
L |
6.8458821601227 |
L(r)(E,1)/r! |
Ω |
1.3927437858121 |
Real period |
R |
0.043887431759458 |
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 |
70800bu1 26550ba1 8850f1 |
Quadratic twists by: -4 -3 5 |