Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cr |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-5959794370768825734 = -1 · 2 · 37 · 716 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55796,117579053] |
[a1,a2,a3,a4,a6] |
j |
-223980311017/69488911254 |
j-invariant |
L |
7.006051541797 |
L(r)(E,1)/r! |
Ω |
0.19461254282815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054v1 5166be1 |
Quadratic twists by: -3 -7 |