Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200f |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1715000000 = -1 · 26 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -1 3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-383,3637] |
[a1,a2,a3,a4,a6] |
Generators |
[12:25:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
3.5013627880509 |
L(r)(E,1)/r! |
Ω |
1.4176630371519 |
Real period |
R |
1.2349065667555 |
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 |
11200r1 5600b1 100800df1 2240l1 |
Quadratic twists by: -4 8 -3 5 |