Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800bx |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7215143364000000 = 28 · 36 · 56 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110308,-13459388] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:594:1] |
Generators of the group modulo torsion |
j |
37109806448848/1803785841 |
j-invariant |
L |
4.0685359358935 |
L(r)(E,1)/r! |
Ω |
0.26275738405534 |
Real period |
R |
0.96775014398732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897776 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3432e2 |
Quadratic twists by: 5 |