Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dd |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
12672827080704 = 214 · 33 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20796,-1141520] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:84:1] |
Generators of the group modulo torsion |
j |
2248430329584/28647703 |
j-invariant |
L |
3.7242390865618 |
L(r)(E,1)/r! |
Ω |
0.39786828243854 |
Real period |
R |
1.5600804129934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544e2 17136a2 68544dg2 |
Quadratic twists by: -4 8 -3 |