Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17808bc |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1276036743856896 = -1 · 28 · 314 · 7 · 533 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 0 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73445,7827087] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:2862:1] |
Generators of the group modulo torsion |
j |
-171149787988688896/4984518530691 |
j-invariant |
L |
6.6431583057755 |
L(r)(E,1)/r! |
Ω |
0.4822056846791 |
Real period |
R |
0.16400722853056 |
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 |
4452b1 71232cg1 53424bj1 124656cp1 |
Quadratic twists by: -4 8 -3 -7 |