Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678s |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-187386802961202432 = -1 · 28 · 36 · 74 · 535 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33010,20690461] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:1595:1] |
Generators of the group modulo torsion |
j |
5456888637366375/257046368945408 |
j-invariant |
L |
6.2173503696806 |
L(r)(E,1)/r! |
Ω |
0.24228145347599 |
Real period |
R |
0.16038553200423 |
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 |
53424ba1 742d1 46746bl1 |
Quadratic twists by: -4 -3 -7 |