Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678d |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-43655984782452 = -1 · 22 · 36 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-726,-317800] |
[a1,a2,a3,a4,a6] |
Generators |
[9580:28824:125] |
Generators of the group modulo torsion |
j |
-58095499617/59884752788 |
j-invariant |
L |
3.2882776553525 |
L(r)(E,1)/r! |
Ω |
0.28928096729496 |
Real period |
R |
2.8417680621204 |
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 |
53424bu1 742f1 46746q1 |
Quadratic twists by: -4 -3 -7 |