Atkin-Lehner |
13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73853d |
Isogeny class |
Conductor |
73853 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6773012176463 = 138 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 -2 4 0 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19861,1068378] |
[a1,a2,a3,a4,a6] |
j |
179501589721/1403207 |
j-invariant |
L |
1.5052722587782 |
L(r)(E,1)/r! |
Ω |
0.75263616100158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5681a2 |
Quadratic twists by: 13 |