Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408dn |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-940128104448 = -1 · 212 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4089,109575] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:348:1] [-21:432:1] |
Generators of the group modulo torsion |
j |
-1846380912832/229523463 |
j-invariant |
L |
10.592510032792 |
L(r)(E,1)/r! |
Ω |
0.85667795218201 |
Real period |
R |
0.61823174074983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cs2 28704a1 |
Quadratic twists by: -4 8 |