Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552m |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16864892462071808 = 215 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9996899,-12165949598] |
[a1,a2,a3,a4,a6] |
Generators |
[-1041213853598977291843:-22512458653946235030:570355972387197443] |
Generators of the group modulo torsion |
j |
15226621995131793/2324168 |
j-invariant |
L |
4.9179346923022 |
L(r)(E,1)/r! |
Ω |
0.084904993400136 |
Real period |
R |
28.961398472321 |
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 |
1694d4 54208bw4 121968eh4 94864bz4 |
Quadratic twists by: -4 8 -3 -7 |