Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bg |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
140921831424 = 215 · 3 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,-25311] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:75:1] [-17:40:1] |
Generators of the group modulo torsion |
j |
22761429704/4300593 |
j-invariant |
L |
6.2071701180247 |
L(r)(E,1)/r! |
Ω |
0.73361830431887 |
Real period |
R |
8.4610349571198 |
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 |
40128cf3 20064m2 120384dj3 |
Quadratic twists by: -4 8 -3 |