Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696bf |
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 |
0.62807764420564 |
L(r)(E,1)/r! |
Ω |
0.31403877721408 |
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 |
85696j2 21424a2 |
Quadratic twists by: -4 8 |