Atkin-Lehner |
2+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64258c |
Isogeny class |
Conductor |
64258 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1017975236 = -1 · 22 · 192 · 893 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 0 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-349,2801] |
[a1,a2,a3,a4,a6] |
Generators |
[34:161:1] |
Generators of the group modulo torsion |
j |
-13080842353/2819876 |
j-invariant |
L |
2.5909245133073 |
L(r)(E,1)/r! |
Ω |
1.4913358901262 |
Real period |
R |
0.28955298073177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64258d2 |
Quadratic twists by: -19 |