Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416bn |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1499904 = -1 · 28 · 33 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,63] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
-4194304/5859 |
j-invariant |
L |
5.2472563819905 |
L(r)(E,1)/r! |
Ω |
2.4180797085407 |
Real period |
R |
0.3616682805132 |
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 |
2604a1 41664cz1 31248ci1 72912bh1 |
Quadratic twists by: -4 8 -3 -7 |