Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892l |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-73828157854464 = -1 · 28 · 312 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -3 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2398296,1429559732] |
[a1,a2,a3,a4,a6] |
j |
-8174563425829593088/395598411 |
j-invariant |
L |
1.8344156425927 |
L(r)(E,1)/r! |
Ω |
0.45860391064817 |
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 |
35568bn1 2964c1 115596s1 |
Quadratic twists by: -4 -3 13 |