Atkin-Lehner |
2- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26572a |
Isogeny class |
Conductor |
26572 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-16659875325184 = -1 · 28 · 74 · 135 · 73 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -6 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4956,-239564] |
[a1,a2,a3,a4,a6] |
j |
-52597519950544/65077637989 |
j-invariant |
L |
0.54351691790778 |
L(r)(E,1)/r! |
Ω |
0.27175845895399 |
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 |
106288p1 |
Quadratic twists by: -4 |