Atkin-Lehner |
2- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38710bf |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-736831959879680 = -1 · 212 · 5 · 78 · 792 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17100,-980848] |
[a1,a2,a3,a4,a6] |
Generators |
[328:6156:1] |
Generators of the group modulo torsion |
j |
95923747199/127815680 |
j-invariant |
L |
11.66511920459 |
L(r)(E,1)/r! |
Ω |
0.2700573613848 |
Real period |
R |
1.799790352065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38710z1 |
Quadratic twists by: -7 |