Atkin-Lehner |
3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17385g |
Isogeny class |
Conductor |
17385 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3096703125 = 32 · 56 · 192 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- -2 2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117438,15480463] |
[a1,a2,a3,a4,a6] |
Generators |
[179:360:1] |
Generators of the group modulo torsion |
j |
179120105180323911001/3096703125 |
j-invariant |
L |
7.1780108051291 |
L(r)(E,1)/r! |
Ω |
1.0171535554407 |
Real period |
R |
1.1761598116519 |
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 |
52155a2 86925a2 |
Quadratic twists by: -3 5 |