Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768a |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
13866909696 = 214 · 39 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1404,-19440] |
[a1,a2,a3,a4,a6] |
Generators |
[-636:640:27] |
Generators of the group modulo torsion |
j |
949104/43 |
j-invariant |
L |
7.1668826083657 |
L(r)(E,1)/r! |
Ω |
0.78212062609946 |
Real period |
R |
4.5816990175211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24768br1 3096g1 24768b1 |
Quadratic twists by: -4 8 -3 |