Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592z |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
153586021957632 = 219 · 310 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31553,-2083809] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:261:1] [-101:288:1] |
Generators of the group modulo torsion |
j |
13253162604625/585884178 |
j-invariant |
L |
12.33533104189 |
L(r)(E,1)/r! |
Ω |
0.35918967157403 |
Real period |
R |
1.7171054763019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592cg2 2706l2 |
Quadratic twists by: -4 8 |