Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536f |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
59206464 = 26 · 39 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1701,-27000] |
[a1,a2,a3,a4,a6] |
j |
432081216/47 |
j-invariant |
L |
2.9736257046902 |
L(r)(E,1)/r! |
Ω |
0.74340642617256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13536d1 27072br2 13536s1 |
Quadratic twists by: -4 8 -3 |