Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728z |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22575201932215296 = -1 · 210 · 38 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,59829,-4531030] |
[a1,a2,a3,a4,a6] |
Generators |
[5254:381240:1] |
Generators of the group modulo torsion |
j |
269676572/257049 |
j-invariant |
L |
6.2322050985461 |
L(r)(E,1)/r! |
Ω |
0.20800653190395 |
Real period |
R |
7.4903958889246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864bk3 30576c3 1872h4 |
Quadratic twists by: -4 -3 -7 |