Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ew |
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] |
Generators |
[50:160:1] |
Generators of the group modulo torsion |
j |
-5088448/780759 |
j-invariant |
L |
4.8691047647119 |
L(r)(E,1)/r! |
Ω |
0.36395420499139 |
Real period |
R |
3.3445861439046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ea1 34272bl1 22848cb1 |
Quadratic twists by: -4 8 -3 |