Atkin-Lehner |
2+ 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20394k |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8081286964713160704 = 216 · 38 · 116 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3068613,2065245525] |
[a1,a2,a3,a4,a6] |
j |
4383516293205185711953/11085441652555776 |
j-invariant |
L |
0.46794308711442 |
L(r)(E,1)/r! |
Ω |
0.23397154355721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6798n2 |
Quadratic twists by: -3 |