Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cb |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1645787662752153600 = 220 · 32 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6288736,-6067652864] |
[a1,a2,a3,a4,a6] |
j |
278202094583041/16646400 |
j-invariant |
L |
1.525387726803 |
L(r)(E,1)/r! |
Ω |
0.09533673340476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8670v2 4080be2 |
Quadratic twists by: -4 17 |