Atkin-Lehner |
2+ 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336d |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1491410606450688 = 211 · 39 · 7 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28755,264654] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:1448:1] [310:4598:1] |
Generators of the group modulo torsion |
j |
65229279750/36997807 |
j-invariant |
L |
11.575318766012 |
L(r)(E,1)/r! |
Ω |
0.41081774764936 |
Real period |
R |
14.088143504367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105336bi2 |
Quadratic twists by: -3 |