Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682r |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1737694874599424 = -1 · 215 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 1 3 3 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93064,11102272] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-904:1] |
Generators of the group modulo torsion |
j |
-1680914269/32768 |
j-invariant |
L |
17.154202275879 |
L(r)(E,1)/r! |
Ω |
0.47189041891176 |
Real period |
R |
1.211736282415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97682j2 338e2 |
Quadratic twists by: 13 17 |