Atkin-Lehner |
2+ 3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890u |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
940057674491362500 = 22 · 312 · 55 · 29 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1966883,-1060872694] |
[a1,a2,a3,a4,a6] |
Generators |
[2025:56092:1] |
Generators of the group modulo torsion |
j |
841509406205603163875881/940057674491362500 |
j-invariant |
L |
3.4215495900259 |
L(r)(E,1)/r! |
Ω |
0.12749233620197 |
Real period |
R |
0.22364413500948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bl4 |
Quadratic twists by: -3 |