Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540z |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
348 |
Product of Tamagawa factors cp |
deg |
208465920 |
Modular degree for the optimal curve |
Δ |
-4.3353937743701E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39460399021,3017107767481055] |
[a1,a2,a3,a4,a6] |
Generators |
[924202:-4065633:8] |
Generators of the group modulo torsion |
j |
-32540284515090191935873024/207606891528771075 |
j-invariant |
L |
6.4227688615762 |
L(r)(E,1)/r! |
Ω |
0.032170175085494 |
Real period |
R |
0.57370630797923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540bn1 |
Quadratic twists by: 13 |