Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194bm |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
13595861664 = 25 · 38 · 7 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118256,15681971] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:4087:1] [201:-155:1] |
Generators of the group modulo torsion |
j |
250877836417618873/18650016 |
j-invariant |
L |
11.386786827445 |
L(r)(E,1)/r! |
Ω |
0.95562419562913 |
Real period |
R |
1.1915548894144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398l2 |
Quadratic twists by: -3 |