Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200bk |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-16441671680000 = -1 · 229 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 5 6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,513200] |
[a1,a2,a3,a4,a6] |
j |
-1026590625/100352 |
j-invariant |
L |
5.4299083233509 |
L(r)(E,1)/r! |
Ω |
0.67873854041886 |
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 |
11200dj1 350f1 100800hf1 11200ba1 |
Quadratic twists by: -4 8 -3 5 |