Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540ba |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-6.9365603127623E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2542661,2009385639] |
[a1,a2,a3,a4,a6] |
Generators |
[1125:23958:1] |
Generators of the group modulo torsion |
j |
-8705675689984/3321676875 |
j-invariant |
L |
5.1633274582818 |
L(r)(E,1)/r! |
Ω |
0.15133323386666 |
Real period |
R |
2.8432438365579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540bp1 |
Quadratic twists by: 13 |