Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200d |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-224000000000 = -1 · 214 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-23437] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4625:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
4.8965143949712 |
L(r)(E,1)/r! |
Ω |
0.42510547355255 |
Real period |
R |
2.8795879491104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200cl1 700a1 100800do1 2240c1 |
Quadratic twists by: -4 8 -3 5 |