Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bw |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-19500000000 = -1 · 28 · 3 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,-19463] |
[a1,a2,a3,a4,a6] |
j |
-524288/39 |
j-invariant |
L |
1.5734097303254 |
L(r)(E,1)/r! |
Ω |
0.39335243258135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3900n1 62400hs1 46800fh1 15600cn1 |
Quadratic twists by: -4 8 -3 5 |