Atkin-Lehner |
7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10829b |
Isogeny class |
Conductor |
10829 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
338005577 = 76 · 132 · 17 |
Discriminant |
Eigenvalues |
1 -2 -2 7- -6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2917,-60861] |
[a1,a2,a3,a4,a6] |
Generators |
[69:225:1] |
Generators of the group modulo torsion |
j |
23320116793/2873 |
j-invariant |
L |
2.160326058463 |
L(r)(E,1)/r! |
Ω |
0.64966054846249 |
Real period |
R |
3.3253151412313 |
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 |
97461x1 221b1 |
Quadratic twists by: -3 -7 |