Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bz |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7424000000 = -1 · 214 · 56 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 3 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,-5263] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1016:1] |
Generators of the group modulo torsion |
j |
-35152/29 |
j-invariant |
L |
4.1034201700493 |
L(r)(E,1)/r! |
Ω |
0.50548631319117 |
Real period |
R |
4.0588835572508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400n1 11600s1 1856j1 |
Quadratic twists by: -4 8 5 |