Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260l |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-7643915826059520 = -1 · 28 · 36 · 5 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47220,1432152] |
[a1,a2,a3,a4,a6] |
j |
161017136/105705 |
j-invariant |
L |
1.5658616724895 |
L(r)(E,1)/r! |
Ω |
0.26097694866937 |
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 |
85260n1 |
Quadratic twists by: -7 |