Atkin-Lehner |
2- 3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430w |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-744749974064758410 = -1 · 2 · 33 · 5 · 716 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-580,41520335] |
[a1,a2,a3,a4,a6] |
Generators |
[-38828561563380:119815612380745:112538671552] |
Generators of the group modulo torsion |
j |
-21580151584321/744749974064758410 |
j-invariant |
L |
7.046140304589 |
L(r)(E,1)/r! |
Ω |
0.22616760470957 |
Real period |
R |
15.577253677946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290q3 87150bm3 122010da3 |
Quadratic twists by: -3 5 -7 |