Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ec |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
386358336000000 = 212 · 36 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42507,-3237894] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:360:1] |
Generators of the group modulo torsion |
j |
2844576388809/129390625 |
j-invariant |
L |
7.5906288549855 |
L(r)(E,1)/r! |
Ω |
0.33343056309357 |
Real period |
R |
0.94855192444755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4095j2 7280q2 |
Quadratic twists by: -4 -3 |