Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566f |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-9089249023310848 = -1 · 210 · 711 · 672 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17861,-4685491] |
[a1,a2,a3,a4,a6] |
Generators |
[3222849:50279305:9261] |
Generators of the group modulo torsion |
j |
-5356619222473/77257341952 |
j-invariant |
L |
3.5648161238579 |
L(r)(E,1)/r! |
Ω |
0.17590425645727 |
Real period |
R |
10.132830767298 |
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 |
52528bc1 59094cc1 938b1 |
Quadratic twists by: -4 -3 -7 |