Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960es |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1375325568000 = -1 · 210 · 37 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1932,-45992] |
[a1,a2,a3,a4,a6] |
j |
1068359936/1842375 |
j-invariant |
L |
2.6954317712546 |
L(r)(E,1)/r! |
Ω |
0.44923862851497 |
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 |
48960cc2 12240cf2 16320ct2 |
Quadratic twists by: -4 8 -3 |