Atkin-Lehner |
2- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710bb |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-556214318359375000 = -1 · 23 · 512 · 136 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -5 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-322540,-79138008] |
[a1,a2,a3,a4,a6] |
Generators |
[674:2788:1] |
Generators of the group modulo torsion |
j |
-768801863379529/115234375000 |
j-invariant |
L |
6.301830918343 |
L(r)(E,1)/r! |
Ω |
0.099344354162989 |
Real period |
R |
1.7620614701708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
590a2 |
Quadratic twists by: 13 |