Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ch |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
132445111910400 = 216 · 310 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20748,-1008272] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:360:1] |
Generators of the group modulo torsion |
j |
20674973956/2772225 |
j-invariant |
L |
3.3371645143603 |
L(r)(E,1)/r! |
Ω |
0.4013199433437 |
Real period |
R |
2.0788678637729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999434455 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106560ff2 13320o2 35520bn2 |
Quadratic twists by: -4 8 -3 |