Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682r |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-424241912744 = -1 · 23 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 1 3 3 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,861,-29719] |
[a1,a2,a3,a4,a6] |
Generators |
[8260:20427:343] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
17.154202275879 |
L(r)(E,1)/r! |
Ω |
0.47189041891176 |
Real period |
R |
6.0586814120751 |
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 |
97682j1 338e1 |
Quadratic twists by: 13 17 |