Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960cc |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
12 |
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] |
Generators |
[-11:153:1] |
Generators of the group modulo torsion |
j |
1068359936/1842375 |
j-invariant |
L |
5.4796267138779 |
L(r)(E,1)/r! |
Ω |
0.58579297314192 |
Real period |
R |
0.77951696320784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960es2 3060n2 16320n2 |
Quadratic twists by: -4 8 -3 |