Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760i |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1390890009600 = 210 · 38 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32763,2281862] |
[a1,a2,a3,a4,a6] |
Generators |
[71:560:1] |
Generators of the group modulo torsion |
j |
5210113839844/1863225 |
j-invariant |
L |
5.2009218070391 |
L(r)(E,1)/r! |
Ω |
0.83834060008364 |
Real period |
R |
1.5509572739649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65520z2 10920m2 |
Quadratic twists by: -4 -3 |