Atkin-Lehner |
2+ 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816d |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-139017216 = -1 · 210 · 3 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144,-924] |
[a1,a2,a3,a4,a6] |
j |
-324730948/135759 |
j-invariant |
L |
1.3497684546514 |
L(r)(E,1)/r! |
Ω |
0.67488422733011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18408b1 110448m1 |
Quadratic twists by: -4 -3 |