Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416f |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-122611908335616 = -1 · 211 · 33 · 74 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14544,864864] |
[a1,a2,a3,a4,a6] |
Generators |
[53:490:1] |
Generators of the group modulo torsion |
j |
-166140387034274/59869095867 |
j-invariant |
L |
3.0915696374206 |
L(r)(E,1)/r! |
Ω |
0.55390917214306 |
Real period |
R |
2.7906828347501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5208l4 41664ej3 31248w3 72912u3 |
Quadratic twists by: -4 8 -3 -7 |