Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ea |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-2331333881856 = -1 · 212 · 314 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516,73600] |
[a1,a2,a3,a4,a6] |
j |
-5088448/780759 |
j-invariant |
L |
2.6782743247804 |
L(r)(E,1)/r! |
Ω |
0.66956857722843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ew1 34272bg1 22848cj1 |
Quadratic twists by: -4 8 -3 |