Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950cr |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
2.0391665104452E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-461214117,-3806120084459] |
[a1,a2,a3,a4,a6] |
Generators |
[-9052470:-52794469:729] |
Generators of the group modulo torsion |
j |
7620332490460668835709/14321718152921088 |
j-invariant |
L |
4.2680330873243 |
L(r)(E,1)/r! |
Ω |
0.032581639794705 |
Real period |
R |
8.1871897681821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cf1 40950ex1 |
Quadratic twists by: -3 5 |