Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600t |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5772971520000000 = 215 · 33 · 57 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153633,22939137] |
[a1,a2,a3,a4,a6] |
j |
783267508232/11275335 |
j-invariant |
L |
1.7113404000426 |
L(r)(E,1)/r! |
Ω |
0.42783509151473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600dk4 40800bs3 16320bg3 |
Quadratic twists by: -4 8 5 |