Atkin-Lehner |
3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
36135h |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
-14634675 = -1 · 36 · 52 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- -3 11+ 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,-185] |
[a1,a2,a3,a4,a6] |
j |
-262144/20075 |
j-invariant |
L |
1.9590846947425 |
L(r)(E,1)/r! |
Ω |
0.97954234738168 |
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 |
4015a1 |
Quadratic twists by: -3 |