Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400ck |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
11990786080000 = 28 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255333,-49745137] |
[a1,a2,a3,a4,a6] |
j |
11506050457600000/74942413 |
j-invariant |
L |
2.5486141600839 |
L(r)(E,1)/r! |
Ω |
0.21238451334277 |
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 |
9100m1 36400bu1 |
Quadratic twists by: -4 5 |