Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232h |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-350849947392 = -1 · 28 · 39 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1761,-1762] |
[a1,a2,a3,a4,a6] |
Generators |
[14727:344960:27] |
Generators of the group modulo torsion |
j |
3236192048/1879983 |
j-invariant |
L |
6.6928170891772 |
L(r)(E,1)/r! |
Ω |
0.56760007034475 |
Real period |
R |
5.8957155212403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14616p1 116928dn1 9744a1 |
Quadratic twists by: -4 8 -3 |