Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520be |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3129502521600 = 28 · 310 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7167,-217474] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:126:1] |
Generators of the group modulo torsion |
j |
218156637904/16769025 |
j-invariant |
L |
6.0869597466486 |
L(r)(E,1)/r! |
Ω |
0.52140290477922 |
Real period |
R |
2.9185490199559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994519 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32760bo2 21840a2 |
Quadratic twists by: -4 -3 |