Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32144t |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-16852713472 = -1 · 223 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7- 4 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,208,-6208] |
[a1,a2,a3,a4,a6] |
Generators |
[47866:198834:2197] |
Generators of the group modulo torsion |
j |
4934783/83968 |
j-invariant |
L |
9.6279176064717 |
L(r)(E,1)/r! |
Ω |
0.60181734683893 |
Real period |
R |
7.9990362998364 |
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 |
4018p1 128576cm1 32144n1 |
Quadratic twists by: -4 8 -7 |