Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136w |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-365636726784 = -1 · 212 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -5 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,-30224] |
[a1,a2,a3,a4,a6] |
Generators |
[65:441:1] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
3.6954842961092 |
L(r)(E,1)/r! |
Ω |
0.40149288385885 |
Real period |
R |
1.1505447682506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1071c1 68544dj1 5712r1 119952gh1 |
Quadratic twists by: -4 8 -3 -7 |