Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bs |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
19021824 = 214 · 33 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-720] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:4:1] |
Generators of the group modulo torsion |
j |
949104/43 |
j-invariant |
L |
3.4929309884598 |
L(r)(E,1)/r! |
Ω |
1.3546726620518 |
Real period |
R |
1.2892158697472 |
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 |
24768b1 6192a1 24768br1 |
Quadratic twists by: -4 8 -3 |