Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346k |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-48977749296 = -1 · 24 · 32 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -2 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,-15046] |
[a1,a2,a3,a4,a6] |
Generators |
[53:267:1] |
Generators of the group modulo torsion |
j |
-14338681/8496 |
j-invariant |
L |
5.0184673079271 |
L(r)(E,1)/r! |
Ω |
0.42341444017504 |
Real period |
R |
0.98769803132136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52038y1 17346c1 |
Quadratic twists by: -3 -7 |