Atkin-Lehner |
2+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696j |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-232643373636763648 = -1 · 214 · 1310 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 0 2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492860,-135185008] |
[a1,a2,a3,a4,a6] |
j |
-808117461488178000/14199424660447 |
j-invariant |
L |
2.87995571394 |
L(r)(E,1)/r! |
Ω |
0.089998612868031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85696bf2 10712d2 |
Quadratic twists by: -4 8 |