Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536dj |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
71322048 = 26 · 32 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476,3822] |
[a1,a2,a3,a4,a6] |
j |
186756901696/1114407 |
j-invariant |
L |
5.8694386321021 |
L(r)(E,1)/r! |
Ω |
1.956479544034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cb1 12768s2 76608fg1 |
Quadratic twists by: -4 8 -3 |