Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328w |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2059480486656 = -1 · 28 · 32 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 5 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,963,67761] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2166:1] |
Generators of the group modulo torsion |
j |
8192/171 |
j-invariant |
L |
3.4397875006606 |
L(r)(E,1)/r! |
Ω |
0.61829930988244 |
Real period |
R |
0.34770654819615 |
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 |
4332d1 69312ds1 51984cu1 912i1 |
Quadratic twists by: -4 8 -3 -19 |