Atkin-Lehner |
37+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121841c |
Isogeny class |
Conductor |
121841 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-228349650401 = -1 · 376 · 89 |
Discriminant |
Eigenvalues |
1 -1 1 -4 -2 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1397,29962] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:216:1] [126:1306:1] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
9.8251595208566 |
L(r)(E,1)/r! |
Ω |
0.91284618410125 |
Real period |
R |
5.3816073728514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000011786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89a1 |
Quadratic twists by: 37 |