Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bi |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-38010880000 = -1 · 221 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 6 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,767,-4863] |
[a1,a2,a3,a4,a6] |
Generators |
[12441:73332:1331] |
Generators of the group modulo torsion |
j |
304175/232 |
j-invariant |
L |
9.7274345104027 |
L(r)(E,1)/r! |
Ω |
0.64382250540784 |
Real period |
R |
7.5544380855721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400cr1 1450i1 46400w1 |
Quadratic twists by: -4 8 5 |