Atkin-Lehner |
3- 5+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85095n |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-6892695 = -1 · 36 · 5 · 31 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 0 -1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45,40] |
[a1,a2,a3,a4,a6] |
Generators |
[156:506:27] |
Generators of the group modulo torsion |
j |
13651919/9455 |
j-invariant |
L |
6.8217141048059 |
L(r)(E,1)/r! |
Ω |
1.4939578144498 |
Real period |
R |
4.5662026332557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9455d1 |
Quadratic twists by: -3 |