Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57420p |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-399286718265600 = -1 · 28 · 36 · 52 · 112 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6807,-985394] |
[a1,a2,a3,a4,a6] |
Generators |
[302:4950:1] |
Generators of the group modulo torsion |
j |
-186906097744/2139525025 |
j-invariant |
L |
7.6684653575962 |
L(r)(E,1)/r! |
Ω |
0.22693945919245 |
Real period |
R |
2.8158998089926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6380a2 |
Quadratic twists by: -3 |