Atkin-Lehner |
2- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22646k |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-490683237680246 = -1 · 2 · 138 · 673 |
Discriminant |
Eigenvalues |
2- 1 -3 2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19178,-299846] |
[a1,a2,a3,a4,a6] |
Generators |
[8520:75001:512] |
Generators of the group modulo torsion |
j |
956280767/601526 |
j-invariant |
L |
7.8385592428615 |
L(r)(E,1)/r! |
Ω |
0.30138707368249 |
Real period |
R |
2.8898088306938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22646b2 |
Quadratic twists by: 13 |