Atkin-Lehner |
2- 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550cb |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
800000 |
Modular degree for the optimal curve |
Δ |
-4339486937500000 = -1 · 25 · 59 · 11 · 135 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11+ 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16638,3273892] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-1676:1] |
Generators of the group modulo torsion |
j |
-260794641869/2221817312 |
j-invariant |
L |
8.2829104048158 |
L(r)(E,1)/r! |
Ω |
0.37403783228427 |
Real period |
R |
0.44289158182383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550s1 |
Quadratic twists by: 5 |