Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600bv |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
-8968343224320000000 = -1 · 221 · 312 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4978408,-4279556812] |
[a1,a2,a3,a4,a6] |
Generators |
[2723:48600:1] |
Generators of the group modulo torsion |
j |
-213213786511688929/140130362880 |
j-invariant |
L |
8.4489982098751 |
L(r)(E,1)/r! |
Ω |
0.050533550335246 |
Real period |
R |
3.4832461926367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999564487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450g1 24720l1 |
Quadratic twists by: -4 5 |