Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dm |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1.32702943464E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5788130,-5329705503] |
[a1,a2,a3,a4,a6] |
Generators |
[-1311:2655:1] |
Generators of the group modulo torsion |
j |
1882742462388824401/11650189824000 |
j-invariant |
L |
8.7680303610112 |
L(r)(E,1)/r! |
Ω |
0.09737038080413 |
Real period |
R |
1.876004773516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650a1 8190m1 |
Quadratic twists by: -3 5 |