Atkin-Lehner |
3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983a |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19915150533740343 = 314 · 7 · 296 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-295349,-61332330] |
[a1,a2,a3,a4,a6] |
j |
6570725617/45927 |
j-invariant |
L |
0.81951843891021 |
L(r)(E,1)/r! |
Ω |
0.2048796097891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17661a4 63a3 |
Quadratic twists by: -3 29 |