Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7497f |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-39366649539 = -1 · 39 · 76 · 17 |
Discriminant |
Eigenvalues |
0 3- 3 7- 3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,294,-9347] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1543:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
4.3726537131868 |
L(r)(E,1)/r! |
Ω |
0.56304079193312 |
Real period |
R |
1.9415350432132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952fm1 2499d1 153b1 127449bc1 |
Quadratic twists by: -4 -3 -7 17 |