Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232w |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-9227960573755392 = -1 · 235 · 33 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -1 -3 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1529835,-728322534] |
[a1,a2,a3,a4,a6] |
j |
-3580418379458257875/83441483776 |
j-invariant |
L |
0.8144961759537 |
L(r)(E,1)/r! |
Ω |
0.06787468132965 |
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 |
3654n1 116928cx1 29232u1 |
Quadratic twists by: -4 8 -3 |