Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094a |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-11714284128888 = -1 · 23 · 33 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 11- 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4197,-194067] |
[a1,a2,a3,a4,a6] |
j |
-170953875/244904 |
j-invariant |
L |
2.2557473668484 |
L(r)(E,1)/r! |
Ω |
0.28196842083903 |
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 |
50094bm2 4554u1 |
Quadratic twists by: -3 -11 |