Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544dx |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-1066196695302144 = -1 · 214 · 313 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3424368,2439039584] |
[a1,a2,a3,a4,a6] |
j |
-371806976516936704/89266779 |
j-invariant |
L |
1.5649790214466 |
L(r)(E,1)/r! |
Ω |
0.39124475426644 |
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 |
68544ci1 17136f1 22848bq1 |
Quadratic twists by: -4 8 -3 |