Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19344s |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-89137152 = -1 · 213 · 33 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 4 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-1068] |
[a1,a2,a3,a4,a6] |
j |
-148035889/21762 |
j-invariant |
L |
3.898703437952 |
L(r)(E,1)/r! |
Ω |
0.64978390632533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2418c1 77376ba1 58032bm1 |
Quadratic twists by: -4 8 -3 |