Atkin-Lehner |
3- 5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85095i |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-172317375 = -1 · 36 · 53 · 31 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 0 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653,6612] |
[a1,a2,a3,a4,a6] |
j |
-42180533641/236375 |
j-invariant |
L |
1.8178036058534 |
L(r)(E,1)/r! |
Ω |
1.8178036399351 |
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 |
9455c1 |
Quadratic twists by: -3 |