Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048cn |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
352991377170432 = 213 · 316 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173024,-27744780] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:18:1] |
Generators of the group modulo torsion |
j |
139857357356642017/86179535442 |
j-invariant |
L |
6.6388244538362 |
L(r)(E,1)/r! |
Ω |
0.23409321242497 |
Real period |
R |
1.772484234234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006w4 |
Quadratic twists by: -4 |