Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424t |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-61990462512 = -1 · 24 · 37 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,726,-9317] |
[a1,a2,a3,a4,a6] |
Generators |
[1033243:15099120:4913] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
5.8589036009145 |
L(r)(E,1)/r! |
Ω |
0.58690294058453 |
Real period |
R |
9.982747053677 |
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 |
8712y1 69696gl1 5808o1 144b1 |
Quadratic twists by: -4 8 -3 -11 |