Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
946a |
Isogeny class |
Conductor |
946 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
7568 = 24 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11,-11] |
[a1,a2,a3,a4,a6] |
j |
154854153/7568 |
j-invariant |
L |
1.3091852929638 |
L(r)(E,1)/r! |
Ω |
2.6183705859277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7568l1 30272l1 8514j1 23650k1 |
Quadratic twists by: -4 8 -3 5 |