Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560cg |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-8.0033123095193E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32899,430425399] |
[a1,a2,a3,a4,a6] |
Generators |
[667:27378:1] |
Generators of the group modulo torsion |
j |
3186827264/64769371875 |
j-invariant |
L |
7.4806492902876 |
L(r)(E,1)/r! |
Ω |
0.15218328434051 |
Real period |
R |
0.94529856430178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140d1 121680fc1 3120ba1 |
Quadratic twists by: -4 -3 13 |