Atkin-Lehner |
2- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77168r |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
303812268032 = 212 · 72 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 2 0 7- 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4128,-97216] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:48:1] |
Generators of the group modulo torsion |
j |
1899713166625/74172917 |
j-invariant |
L |
10.472171231122 |
L(r)(E,1)/r! |
Ω |
0.59703444927765 |
Real period |
R |
2.1925391494559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4823a2 |
Quadratic twists by: -4 |