Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244n |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-104606519472 = -1 · 24 · 37 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,15689] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-117:1] [-17:126:1] |
Generators of the group modulo torsion |
j |
-256000000/8968323 |
j-invariant |
L |
9.7291186217111 |
L(r)(E,1)/r! |
Ω |
0.88318780761237 |
Real period |
R |
0.45899630755513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748c1 |
Quadratic twists by: -3 |