Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111188l |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
181003335247504 = 24 · 72 · 116 · 194 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-361842,-83895571] |
[a1,a2,a3,a4,a6] |
Generators |
[-9393:1331:27] |
Generators of the group modulo torsion |
j |
2512739411154688/86806489 |
j-invariant |
L |
6.1675657365801 |
L(r)(E,1)/r! |
Ω |
0.19465726230181 |
Real period |
R |
2.6403525998322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188o2 |
Quadratic twists by: -19 |