Atkin-Lehner |
2- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23312f |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
45880999936 = 215 · 313 · 47 |
Discriminant |
Eigenvalues |
2- -1 3 1 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42104,3339376] |
[a1,a2,a3,a4,a6] |
j |
2015320626946297/11201416 |
j-invariant |
L |
2.0165293474023 |
L(r)(E,1)/r! |
Ω |
1.0082646737011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914b2 93248v2 |
Quadratic twists by: -4 8 |