Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200dn |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
6541516800000000000 = 222 · 33 · 511 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4866408,4131795312] |
[a1,a2,a3,a4,a6] |
Generators |
[-1894:80938:1] |
Generators of the group modulo torsion |
j |
199144987475642209/102211200000 |
j-invariant |
L |
5.752945168996 |
L(r)(E,1)/r! |
Ω |
0.2342950338633 |
Real period |
R |
6.138569281799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999617426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650y1 21840bs1 |
Quadratic twists by: -4 5 |