Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240dq |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
181083600000000 = 210 · 39 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23328,1208952] |
[a1,a2,a3,a4,a6] |
Generators |
[3714:226152:1] |
Generators of the group modulo torsion |
j |
69657034752/8984375 |
j-invariant |
L |
6.4614297067638 |
L(r)(E,1)/r! |
Ω |
0.54879643559976 |
Real period |
R |
5.8869093237208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240f1 16560bf1 66240dy1 |
Quadratic twists by: -4 8 -3 |