Atkin-Lehner |
2+ 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490n |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
48613420707287040 = 212 · 32 · 5 · 116 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111178,9532988] |
[a1,a2,a3,a4,a6] |
Generators |
[96411:196615:343] |
Generators of the group modulo torsion |
j |
151975880537816948761/48613420707287040 |
j-invariant |
L |
5.0632027171853 |
L(r)(E,1)/r! |
Ω |
0.33010640778593 |
Real period |
R |
7.6690464010452 |
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 |
52470bb3 87450bm3 |
Quadratic twists by: -3 5 |