Atkin-Lehner |
3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553k |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6565538459781507843 = -1 · 33 · 73 · 133 · 199 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,363407,-90053994] |
[a1,a2,a3,a4,a6] |
Generators |
[228:2145:1] |
Generators of the group modulo torsion |
j |
112818618368000/139556074203 |
j-invariant |
L |
4.0284335375399 |
L(r)(E,1)/r! |
Ω |
0.1271647034475 |
Real period |
R |
5.2798108985651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187l2 |
Quadratic twists by: -19 |