Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824bm |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
26719519444992 = 212 · 310 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38120,2841204] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:2376:1] |
Generators of the group modulo torsion |
j |
1495663284827881/6523320177 |
j-invariant |
L |
4.4869902507749 |
L(r)(E,1)/r! |
Ω |
0.67118158227694 |
Real period |
R |
0.22284035444605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739a1 |
Quadratic twists by: -4 |