Atkin-Lehner |
5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675m |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
17618275390625 = 59 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-244188,-46545844] |
[a1,a2,a3,a4,a6] |
Generators |
[17148:191749:27] |
Generators of the group modulo torsion |
j |
103056823169347321/1127569625 |
j-invariant |
L |
4.8623211231347 |
L(r)(E,1)/r! |
Ω |
0.21476759361176 |
Real period |
R |
5.6599799827404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735d1 |
Quadratic twists by: 5 |