Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680j |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-48089600000000 = -1 · 215 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5333,298074] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:450:1] |
Generators of the group modulo torsion |
j |
4095232047999/11740625000 |
j-invariant |
L |
5.541308730323 |
L(r)(E,1)/r! |
Ω |
0.44719251128321 |
Real period |
R |
1.5489159004537 |
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 |
2210e2 70720be2 88400bo2 |
Quadratic twists by: -4 8 5 |