Atkin-Lehner |
2- 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
47138n |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-502962506821609744 = -1 · 24 · 710 · 133 · 373 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,170421,20831369] |
[a1,a2,a3,a4,a6] |
j |
1937815747007/1780554256 |
j-invariant |
L |
9.2278691352593 |
L(r)(E,1)/r! |
Ω |
0.19224727365522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47138j2 |
Quadratic twists by: -7 |