Atkin-Lehner |
2- 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81328l |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17225525444608 = 214 · 13 · 172 · 234 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7435,-144966] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-1104:1] [95:78:1] |
Generators of the group modulo torsion |
j |
11097028022625/4205450548 |
j-invariant |
L |
9.4281489026853 |
L(r)(E,1)/r! |
Ω |
0.53076187397515 |
Real period |
R |
2.2204281629939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10166c2 |
Quadratic twists by: -4 |