Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8892m |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-6823727949168 = -1 · 24 · 314 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3579,94889] |
[a1,a2,a3,a4,a6] |
j |
434671630592/585024687 |
j-invariant |
L |
1.0091282225338 |
L(r)(E,1)/r! |
Ω |
0.50456411126688 |
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 |
35568ci1 2964d1 115596x1 |
Quadratic twists by: -4 -3 13 |