Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600s |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16646400000000 = 214 · 32 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7633,-162863] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:91:1] [-53:300:1] |
Generators of the group modulo torsion |
j |
192143824/65025 |
j-invariant |
L |
9.5448664342563 |
L(r)(E,1)/r! |
Ω |
0.52474672010353 |
Real period |
R |
4.5473683152481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600ik2 10200bi2 16320bf2 |
Quadratic twists by: -4 8 5 |