Atkin-Lehner |
2+ 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214f |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8448000 |
Modular degree for the optimal curve |
Δ |
-3.0533652839876E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 5 7 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24446070,53589010612] |
[a1,a2,a3,a4,a6] |
j |
-2216273465268684344365921/418842974483893590336 |
j-invariant |
L |
1.4889707867076 |
L(r)(E,1)/r! |
Ω |
0.093060674159659 |
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 |
15738h1 |
Quadratic twists by: -3 |