Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bc |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
221870555136 = 218 · 39 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14124,645680] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:1080:1] |
Generators of the group modulo torsion |
j |
1630532233/1161 |
j-invariant |
L |
6.6305089313344 |
L(r)(E,1)/r! |
Ω |
0.98661243854616 |
Real period |
R |
3.3602398836087 |
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 |
24768cc1 387d1 8256j1 |
Quadratic twists by: -4 8 -3 |