Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946w |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-17039307930624 = -1 · 210 · 314 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7124,-303177] |
[a1,a2,a3,a4,a6] |
j |
-54841681585657/23373536256 |
j-invariant |
L |
5.0907771126428 |
L(r)(E,1)/r! |
Ω |
0.25453885563214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71568br1 2982b1 62622cf1 |
Quadratic twists by: -4 -3 -7 |