Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10764k |
Isogeny class |
Conductor |
10764 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
7.1562938272451E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1499520,-577810699] |
[a1,a2,a3,a4,a6] |
Generators |
[66127:17001738:1] |
Generators of the group modulo torsion |
j |
31969289829351424000/6135368507583237 |
j-invariant |
L |
5.0735458802513 |
L(r)(E,1)/r! |
Ω |
0.13824916262757 |
Real period |
R |
1.8349282497714 |
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 |
43056bk1 3588d1 |
Quadratic twists by: -4 -3 |