Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162x |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1575352110528 = -1 · 26 · 36 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1461,56069] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:223:1] |
Generators of the group modulo torsion |
j |
4019679/18368 |
j-invariant |
L |
2.7920596571416 |
L(r)(E,1)/r! |
Ω |
0.60603949688325 |
Real period |
R |
0.57588236235045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018q1 5166t1 |
Quadratic twists by: -3 -7 |