Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dx |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.7586392822266E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-844880,-48179253] |
[a1,a2,a3,a4,a6] |
Generators |
[1583:49995:1] |
Generators of the group modulo torsion |
j |
5855456577737521/3299765625000 |
j-invariant |
L |
12.293905589183 |
L(r)(E,1)/r! |
Ω |
0.16956136664656 |
Real period |
R |
6.0420138699338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050d2 22230n2 |
Quadratic twists by: -3 5 |