Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384cg |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
896501864778653952 = 28 · 313 · 7 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-538095,144937042] |
[a1,a2,a3,a4,a6] |
Generators |
[1042:70227:8] |
Generators of the group modulo torsion |
j |
92327927767234000/4803786569673 |
j-invariant |
L |
6.6967641345722 |
L(r)(E,1)/r! |
Ω |
0.27649039680623 |
Real period |
R |
1.0091917889173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128k1 |
Quadratic twists by: -3 |