Atkin-Lehner |
2+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36112a |
Isogeny class |
Conductor |
36112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2311168 = -1 · 210 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ -2 0 0 -3 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [0:6:1] |
Generators of the group modulo torsion |
j |
3429500/2257 |
j-invariant |
L |
6.1804452552402 |
L(r)(E,1)/r! |
Ω |
1.6221630898133 |
Real period |
R |
1.9050011968748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18056c1 |
Quadratic twists by: -4 |