Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37184f |
Isogeny class |
Conductor |
37184 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-14925955072 = -1 · 219 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 2 2 7- 1 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377,20993] |
[a1,a2,a3,a4,a6] |
Generators |
[11:84:1] |
Generators of the group modulo torsion |
j |
-1102302937/56938 |
j-invariant |
L |
10.086124937726 |
L(r)(E,1)/r! |
Ω |
1.2321102280378 |
Real period |
R |
1.3643428848339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37184d1 9296c1 |
Quadratic twists by: -4 8 |