Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200ca |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-102942875000000 = -1 · 26 · 59 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 5 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9283,600437] |
[a1,a2,a3,a4,a6] |
j |
-88478050816/102942875 |
j-invariant |
L |
2.1631287585324 |
L(r)(E,1)/r! |
Ω |
0.5407821896331 |
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 |
11200ck1 5600o1 100800mp1 2240u1 |
Quadratic twists by: -4 8 -3 5 |