Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760bm |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6765120 = 26 · 36 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1737,-27864] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1664:1] |
Generators of the group modulo torsion |
j |
12422690496/145 |
j-invariant |
L |
7.0752746402002 |
L(r)(E,1)/r! |
Ω |
0.73951996665853 |
Real period |
R |
4.7836941253728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760bn1 83520eh2 4640a1 |
Quadratic twists by: -4 8 -3 |