Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355n |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.4180938990266E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4156875,644694336] |
[a1,a2,a3,a4,a6] |
Generators |
[-7850256:-8250225972:300763] |
Generators of the group modulo torsion |
j |
92620878949474849/51513276425625 |
j-invariant |
L |
5.5979184105537 |
L(r)(E,1)/r! |
Ω |
0.11952583462636 |
Real period |
R |
11.708595110501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999824 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22785q2 9765l2 |
Quadratic twists by: -3 -7 |