Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bz |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-66397691712172032 = -1 · 212 · 32 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81113,-15229479] |
[a1,a2,a3,a4,a6] |
Generators |
[50005:502824:125] |
Generators of the group modulo torsion |
j |
-8000/9 |
j-invariant |
L |
4.3387075595317 |
L(r)(E,1)/r! |
Ω |
0.13550318159172 |
Real period |
R |
8.0048075122352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568dh1 50784j1 101568bx1 |
Quadratic twists by: -4 8 -23 |