Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
16380b |
Isogeny class |
Conductor |
16380 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2751840000 = 28 · 33 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10167,394574] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-350:1] |
Generators of the group modulo torsion |
j |
16815061239408/398125 |
j-invariant |
L |
5.8104589322161 |
L(r)(E,1)/r! |
Ω |
1.3286661490927 |
Real period |
R |
0.36442932737366 |
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 |
65520cf2 16380a2 81900a2 114660c2 |
Quadratic twists by: -4 -3 5 -7 |