Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162ca |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4592863296 = -1 · 26 · 36 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1847,-30257] |
[a1,a2,a3,a4,a6] |
j |
-397909449/2624 |
j-invariant |
L |
6.5519803788411 |
L(r)(E,1)/r! |
Ω |
0.36399890993677 |
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 |
4018b1 36162cl1 |
Quadratic twists by: -3 -7 |