Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416ca |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2236836446208 = 215 · 37 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15564,-743888] |
[a1,a2,a3,a4,a6] |
Generators |
[149:495:1] |
Generators of the group modulo torsion |
j |
17454600584/93639 |
j-invariant |
L |
7.3531160755738 |
L(r)(E,1)/r! |
Ω |
0.42757225704847 |
Real period |
R |
4.2993411957904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416db4 26208k3 17472bb3 |
Quadratic twists by: -4 8 -3 |