Atkin-Lehner |
2+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728i |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2029989168621568 = 211 · 710 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144115,20945874] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:6468:1] [-137:6174:1] |
Generators of the group modulo torsion |
j |
161629756274927250/991205648741 |
j-invariant |
L |
8.5344590405682 |
L(r)(E,1)/r! |
Ω |
0.46804425733309 |
Real period |
R |
0.91171496144373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864b2 |
Quadratic twists by: -4 |