Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232j |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-355964378112 = -1 · 210 · 310 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1005,25954] |
[a1,a2,a3,a4,a6] |
j |
150381500/476847 |
j-invariant |
L |
2.7042496764989 |
L(r)(E,1)/r! |
Ω |
0.67606241912485 |
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 |
14616i1 116928ea1 9744d1 |
Quadratic twists by: -4 8 -3 |