Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485bn |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-153560113875 = -1 · 36 · 53 · 73 · 173 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 2 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,63,-18853] |
[a1,a2,a3,a4,a6] |
j |
110592/614125 |
j-invariant |
L |
5.7006157263038 |
L(r)(E,1)/r! |
Ω |
0.47505131052466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165g1 37485bf1 |
Quadratic twists by: -3 -7 |