Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248o |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-6377516992 = -1 · 26 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245,4116] |
[a1,a2,a3,a4,a6] |
Generators |
[35:196:1] |
Generators of the group modulo torsion |
j |
-216000/847 |
j-invariant |
L |
4.6745558762377 |
L(r)(E,1)/r! |
Ω |
1.168194341521 |
Real period |
R |
1.0003806109332 |
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 |
17248z1 34496l1 2464c1 |
Quadratic twists by: -4 8 -7 |