Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416br |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
24726933504 = 212 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2196,38880] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-91:1] [-26:280:1] |
Generators of the group modulo torsion |
j |
392223168/8281 |
j-invariant |
L |
8.2078267040702 |
L(r)(E,1)/r! |
Ω |
1.1947184331298 |
Real period |
R |
1.7175232415578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416cn2 26208bl1 5824b2 |
Quadratic twists by: -4 8 -3 |