Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200bg |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1003520000 = -1 · 215 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -3 -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,1537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:35:1] [-3:40:1] |
Generators of the group modulo torsion |
j |
-200/49 |
j-invariant |
L |
5.1578633868687 |
L(r)(E,1)/r! |
Ω |
1.2719517873867 |
Real period |
R |
0.16896157274515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200bp1 5600v1 100800gx1 11200u1 |
Quadratic twists by: -4 8 -3 5 |