Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200m |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2423520000 = -1 · 28 · 34 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2233,41437] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:90:1] [37:-90:1] |
Generators of the group modulo torsion |
j |
-7699532800/15147 |
j-invariant |
L |
8.5638964092299 |
L(r)(E,1)/r! |
Ω |
1.4522331872747 |
Real period |
R |
0.2457105512437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200ce1 |
Quadratic twists by: 5 |