Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cv |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2808152064 = -1 · 216 · 34 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 0 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,-2559] |
[a1,a2,a3,a4,a6] |
Generators |
[80:711:1] |
Generators of the group modulo torsion |
j |
92/81 |
j-invariant |
L |
9.0419949184065 |
L(r)(E,1)/r! |
Ω |
0.66815596906182 |
Real period |
R |
3.3831901992235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568bp1 25392s1 101568cw1 |
Quadratic twists by: -4 8 -23 |