Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400l |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-29696000000 = -1 · 216 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -3 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8033,-279937] |
[a1,a2,a3,a4,a6] |
j |
-55990084/29 |
j-invariant |
L |
0.50426881957791 |
L(r)(E,1)/r! |
Ω |
0.25213440996972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400by1 5800a1 1856c1 |
Quadratic twists by: -4 8 5 |