Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680bw |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
867162996000000 = 28 · 37 · 56 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55767,-4866874] |
[a1,a2,a3,a4,a6] |
j |
102775137127504/4646578125 |
j-invariant |
L |
3.7385210525604 |
L(r)(E,1)/r! |
Ω |
0.31154341395305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840co2 28560c2 |
Quadratic twists by: -4 -3 |