Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ec |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1572455566080 = -1 · 28 · 36 · 5 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3288,-94372] |
[a1,a2,a3,a4,a6] |
j |
-21064523776/8425795 |
j-invariant |
L |
3.7096656934817 |
L(r)(E,1)/r! |
Ω |
0.30913880485066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21420s2 9520k2 |
Quadratic twists by: -4 -3 |