Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544bu |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5713073856 = -1 · 26 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,3778] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:63:1] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
7.0223860230762 |
L(r)(E,1)/r! |
Ω |
1.1602156535449 |
Real period |
R |
0.37829098845293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544dj1 1071c1 22848bl1 |
Quadratic twists by: -4 8 -3 |