Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960cw |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
41127078585600 = 28 · 33 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50780,-4376700] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:98:1] |
Generators of the group modulo torsion |
j |
480819584464/1365525 |
j-invariant |
L |
4.3742412030099 |
L(r)(E,1)/r! |
Ω |
0.3180898452738 |
Real period |
R |
0.85947438731374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bu2 |
Quadratic twists by: -7 |