Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824bk |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
33656832 = 212 · 32 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2744,54420] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:312:1] [22:72:1] |
Generators of the group modulo torsion |
j |
558051585337/8217 |
j-invariant |
L |
9.7628373319602 |
L(r)(E,1)/r! |
Ω |
1.8932013225572 |
Real period |
R |
2.578393860082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739c1 |
Quadratic twists by: -4 |