Atkin-Lehner |
2+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728h |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32012288 = 211 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13608,606484] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:910:1] [60:98:1] |
Generators of the group modulo torsion |
j |
136084473031250/15631 |
j-invariant |
L |
6.4382175509124 |
L(r)(E,1)/r! |
Ω |
1.6101366693309 |
Real period |
R |
3.9985534604265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864f2 |
Quadratic twists by: -4 |