Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32448bt |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2915647488 = 214 · 34 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,2159] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:39:1] |
Generators of the group modulo torsion |
j |
250000/81 |
j-invariant |
L |
7.4034057772892 |
L(r)(E,1)/r! |
Ω |
1.3186095574184 |
Real period |
R |
1.4036387298344 |
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 |
32448ct2 4056o2 97344da2 32448bu2 |
Quadratic twists by: -4 8 -3 13 |