Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248y |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-885228543326976 = -1 · 28 · 3 · 177 · 532 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 5 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2355,1431591] |
[a1,a2,a3,a4,a6] |
Generators |
[4233:64342:27] |
Generators of the group modulo torsion |
j |
5639908450304/3457923997371 |
j-invariant |
L |
7.8586472263601 |
L(r)(E,1)/r! |
Ω |
0.38871616599978 |
Real period |
R |
5.0542323125038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10812a1 129744cc1 |
Quadratic twists by: -4 -3 |