Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760j |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9715650624000 = 29 · 34 · 53 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108456,13710744] |
[a1,a2,a3,a4,a6] |
j |
275561477457747272/18975880125 |
j-invariant |
L |
2.761960122645 |
L(r)(E,1)/r! |
Ω |
0.69049003066125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17760a2 35520ca4 53280bs4 88800bh4 |
Quadratic twists by: -4 8 -3 5 |