Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472db |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2290089984 = -1 · 223 · 3 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,4511] |
[a1,a2,a3,a4,a6] |
Generators |
[55:384:1] |
Generators of the group modulo torsion |
j |
-47045881/8736 |
j-invariant |
L |
6.3465055665805 |
L(r)(E,1)/r! |
Ω |
1.3997630836257 |
Real period |
R |
1.1334963824989 |
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 |
17472d1 4368r1 52416gk1 122304fa1 |
Quadratic twists by: -4 8 -3 -7 |