Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768ch |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2006208 = -1 · 26 · 36 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,70] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
3.6253255871485 |
L(r)(E,1)/r! |
Ω |
2.2325831516869 |
Real period |
R |
0.81191278013751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24768bj1 6192ba1 2752d1 |
Quadratic twists by: -4 8 -3 |