Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240g |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20089295213690880 = 224 · 39 · 5 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2194668,-1251396432] |
[a1,a2,a3,a4,a6] |
Generators |
[-12058953726706:1342650287881:14067333944] |
Generators of the group modulo torsion |
j |
226568219476347/3893440 |
j-invariant |
L |
5.0471444685438 |
L(r)(E,1)/r! |
Ω |
0.12403886814223 |
Real period |
R |
20.345011787307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ds3 2070m3 66240y1 |
Quadratic twists by: -4 8 -3 |