Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890c |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8558915625000 = -1 · 23 · 36 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3000,125000] |
[a1,a2,a3,a4,a6] |
Generators |
[7:379:1] |
Generators of the group modulo torsion |
j |
4095232047999/11740625000 |
j-invariant |
L |
3.9394872824768 |
L(r)(E,1)/r! |
Ω |
0.51637343353789 |
Real period |
R |
1.9072860001171 |
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 99450cv2 |
Quadratic twists by: -3 5 |