Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2562f |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3918544433577984 = -1 · 224 · 3 · 73 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112332,-14810102] |
[a1,a2,a3,a4,a6] |
j |
-156757608184131485497/3918544433577984 |
j-invariant |
L |
2.343556061768 |
L(r)(E,1)/r! |
Ω |
0.13019755898711 |
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 |
20496k2 81984p2 7686w2 64050bq2 |
Quadratic twists by: -4 8 -3 5 |