Atkin-Lehner |
3+ 5- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85095d |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-186102765 = -1 · 39 · 5 · 31 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 1 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69,710] |
[a1,a2,a3,a4,a6] |
j |
-1860867/9455 |
j-invariant |
L |
3.114798408234 |
L(r)(E,1)/r! |
Ω |
1.5573992036451 |
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 |
85095a1 |
Quadratic twists by: -3 |