Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640n |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
21760359040000 = 210 · 54 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7987,158466] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:510:1] |
Generators of the group modulo torsion |
j |
467720676/180625 |
j-invariant |
L |
6.4525312812575 |
L(r)(E,1)/r! |
Ω |
0.61892259295888 |
Real period |
R |
1.3031781668498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33320q2 1360a2 |
Quadratic twists by: -4 -7 |