Atkin-Lehner |
2+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192g |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
440832 |
Modular degree for the optimal curve |
Δ |
-51046450554395648 = -1 · 210 · 114 · 237 |
Discriminant |
Eigenvalues |
2+ -1 -4 2 11- -3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3536665,2561196641] |
[a1,a2,a3,a4,a6] |
j |
-4777554520541237119744/49850049369527 |
j-invariant |
L |
1.2880522608169 |
L(r)(E,1)/r! |
Ω |
0.32201306520422 |
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 |
16192s1 1012a1 |
Quadratic twists by: -4 8 |