Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416w |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-14251288452912 = -1 · 24 · 39 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4319,143668] |
[a1,a2,a3,a4,a6] |
Generators |
[19908:359135:64] |
Generators of the group modulo torsion |
j |
556740459216896/890705528307 |
j-invariant |
L |
4.8854019213871 |
L(r)(E,1)/r! |
Ω |
0.47990942845302 |
Real period |
R |
5.089920755605 |
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 |
2604e1 41664dv1 31248bu1 72912cq1 |
Quadratic twists by: -4 8 -3 -7 |