Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760x |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-299917070254080 = -1 · 214 · 312 · 5 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8637,-773822] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1246:1] |
Generators of the group modulo torsion |
j |
23862997439/100441620 |
j-invariant |
L |
4.998715776225 |
L(r)(E,1)/r! |
Ω |
0.27625062055438 |
Real period |
R |
4.5237145225135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7470f2 19920r2 |
Quadratic twists by: -4 -3 |