Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152z |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-3754224 = -1 · 24 · 32 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -2 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1194,-15489] |
[a1,a2,a3,a4,a6] |
Generators |
[45:141:1] |
Generators of the group modulo torsion |
j |
-11775528009472/234639 |
j-invariant |
L |
5.8784302245857 |
L(r)(E,1)/r! |
Ω |
0.40605760751255 |
Real period |
R |
3.6192095135195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10788h1 129456bj1 |
Quadratic twists by: -4 -3 |