Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ey |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-998001000000 = -1 · 26 · 36 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13863,-630088] |
[a1,a2,a3,a4,a6] |
j |
-6315211203904/21390625 |
j-invariant |
L |
0.43989313671578 |
L(r)(E,1)/r! |
Ω |
0.21994656325967 |
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 |
106560fb1 53280bt2 11840bm1 |
Quadratic twists by: -4 8 -3 |