Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cq |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-346374144 = -1 · 214 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -3 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,1168] |
[a1,a2,a3,a4,a6] |
Generators |
[12:32:1] |
Generators of the group modulo torsion |
j |
-35152/29 |
j-invariant |
L |
6.6197451037736 |
L(r)(E,1)/r! |
Ω |
1.5633773704769 |
Real period |
R |
2.1171296287071 |
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 |
16704y1 4176bi1 1856j1 |
Quadratic twists by: -4 8 -3 |