Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570j |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
9180151470 = 2 · 33 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1319,17732] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-5:1] |
Generators of the group modulo torsion |
j |
253503932606569/9180151470 |
j-invariant |
L |
2.9320153026356 |
L(r)(E,1)/r! |
Ω |
1.2888443773083 |
Real period |
R |
2.2749180228873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28560ch2 114240ch2 10710bn2 17850bi2 |
Quadratic twists by: -4 8 -3 5 |