Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680c |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
73548800 = 210 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107,106] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] |
Generators of the group modulo torsion |
j |
132304644/71825 |
j-invariant |
L |
4.4269801878459 |
L(r)(E,1)/r! |
Ω |
1.6925058822642 |
Real period |
R |
0.65390912880072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8840b1 70720t1 88400d1 |
Quadratic twists by: -4 8 5 |