Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32487f |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12073897216017 = -1 · 36 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 4 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1935,-163134] |
[a1,a2,a3,a4,a6] |
Generators |
[13098:283286:27] |
Generators of the group modulo torsion |
j |
6804992375/102626433 |
j-invariant |
L |
5.9287335527355 |
L(r)(E,1)/r! |
Ω |
0.34883776517555 |
Real period |
R |
4.2489189421273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461i2 4641d2 |
Quadratic twists by: -3 -7 |