Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416z |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
100345577472 = 220 · 32 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31984,2212288] |
[a1,a2,a3,a4,a6] |
Generators |
[106:42:1] |
Generators of the group modulo torsion |
j |
883437180088177/24498432 |
j-invariant |
L |
3.4430015223951 |
L(r)(E,1)/r! |
Ω |
0.98867334964671 |
Real period |
R |
0.58040766171243 |
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 |
1302o1 41664dz1 31248bx1 72912cz1 |
Quadratic twists by: -4 8 -3 -7 |