Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400v |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-3460320000 = -1 · 28 · 35 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,367,963] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-90:1] |
Generators of the group modulo torsion |
j |
34073600/21627 |
j-invariant |
L |
6.7751688948587 |
L(r)(E,1)/r! |
Ω |
0.8756124727485 |
Real period |
R |
0.25792113542286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106800h1 53400d1 |
Quadratic twists by: -4 5 |