Atkin-Lehner |
3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
8295c |
Isogeny class |
Conductor |
8295 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22120701660225 = 310 · 52 · 74 · 792 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32045,2182970] |
[a1,a2,a3,a4,a6] |
j |
3639195501055667281/22120701660225 |
j-invariant |
L |
1.3641898644911 |
L(r)(E,1)/r! |
Ω |
0.68209493224555 |
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 |
24885f2 41475n2 58065p2 |
Quadratic twists by: -3 5 -7 |