Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420k |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-160457957510400 = -1 · 28 · 310 · 52 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14943,-930458] |
[a1,a2,a3,a4,a6] |
Generators |
[311:4950:1] |
Generators of the group modulo torsion |
j |
-1977286530256/859792725 |
j-invariant |
L |
6.7465766397589 |
L(r)(E,1)/r! |
Ω |
0.21143287516652 |
Real period |
R |
1.3295347744415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140i2 |
Quadratic twists by: -3 |