Atkin-Lehner |
2- 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
36816n |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-5301504 = -1 · 28 · 33 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 3 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-884,-9828] |
[a1,a2,a3,a4,a6] |
j |
-298766385232/20709 |
j-invariant |
L |
3.9396375075758 |
L(r)(E,1)/r! |
Ω |
0.4377375008453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9204d1 110448bp1 |
Quadratic twists by: -4 -3 |