Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17328bb |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-6691252101145344 = -1 · 28 · 34 · 199 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -1 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36581,-4780977] |
[a1,a2,a3,a4,a6] |
Generators |
[1203:41154:1] |
Generators of the group modulo torsion |
j |
-65536/81 |
j-invariant |
L |
5.4905415609807 |
L(r)(E,1)/r! |
Ω |
0.16488174469629 |
Real period |
R |
2.0812422151002 |
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 |
4332a1 69312cd1 51984ca1 17328p1 |
Quadratic twists by: -4 8 -3 -19 |