Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240en |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-120117607603200 = -1 · 210 · 36 · 52 · 235 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2628,529848] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3455:1] |
Generators of the group modulo torsion |
j |
-2688885504/160908575 |
j-invariant |
L |
4.7108432562111 |
L(r)(E,1)/r! |
Ω |
0.48724736184624 |
Real period |
R |
4.8341393148363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240by1 16560bw1 7360bb1 |
Quadratic twists by: -4 8 -3 |