Atkin-Lehner |
3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
57285c |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18357489404055 = -1 · 316 · 5 · 19 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1507,-205284] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1601:1] |
Generators of the group modulo torsion |
j |
519524563319/25181741295 |
j-invariant |
L |
3.4310805297816 |
L(r)(E,1)/r! |
Ω |
0.33004014267727 |
Real period |
R |
5.1979745587335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095d2 |
Quadratic twists by: -3 |