Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510cg |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2.7182465592975E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,319138,-241133651] |
[a1,a2,a3,a4,a6] |
Generators |
[997:-33169:1] |
Generators of the group modulo torsion |
j |
532445465175651/4026275000000 |
j-invariant |
L |
10.740663904798 |
L(r)(E,1)/r! |
Ω |
0.1048236402065 |
Real period |
R |
0.42693390710232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510a1 48510cd1 |
Quadratic twists by: -3 -7 |