Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816a |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1288265472 = -1 · 28 · 38 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,148,-1632] |
[a1,a2,a3,a4,a6] |
Generators |
[53319:664530:343] |
Generators of the group modulo torsion |
j |
1391012912/5032287 |
j-invariant |
L |
6.9861843865287 |
L(r)(E,1)/r! |
Ω |
0.77779426507627 |
Real period |
R |
8.9820466673704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18408e1 110448n1 |
Quadratic twists by: -4 -3 |