Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17784i |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-421694208 = -1 · 28 · 33 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231,1674] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:42:1] [-5:52:1] |
Generators of the group modulo torsion |
j |
-197222256/61009 |
j-invariant |
L |
6.0228855262253 |
L(r)(E,1)/r! |
Ω |
1.5878195329736 |
Real period |
R |
0.47414751811766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35568b2 17784a2 |
Quadratic twists by: -4 -3 |