Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816o |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
47713536 = 28 · 35 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-469,3743] |
[a1,a2,a3,a4,a6] |
Generators |
[11:6:1] |
Generators of the group modulo torsion |
j |
44660948992/186381 |
j-invariant |
L |
9.2624680067375 |
L(r)(E,1)/r! |
Ω |
2.0221293345136 |
Real period |
R |
0.4580551722704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9204c1 110448bm1 |
Quadratic twists by: -4 -3 |