Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520br |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-289702519142400 = -1 · 211 · 314 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13107,-1002094] |
[a1,a2,a3,a4,a6] |
Generators |
[157:900:1] |
Generators of the group modulo torsion |
j |
-166792350818/194041575 |
j-invariant |
L |
7.968702269211 |
L(r)(E,1)/r! |
Ω |
0.21350721228494 |
Real period |
R |
2.3326794746761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760t2 21840e2 |
Quadratic twists by: -4 -3 |