Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162d |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1133781110784 = -1 · 212 · 39 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 4 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2823,-76483] |
[a1,a2,a3,a4,a6] |
j |
-368601813/167936 |
j-invariant |
L |
2.5635049158498 |
L(r)(E,1)/r! |
Ω |
0.32043811448155 |
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 |
36162bw1 36162k1 |
Quadratic twists by: -3 -7 |