Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677f |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8823846888507237 = 3 · 2310 · 71 |
Discriminant |
Eigenvalues |
-1 3- -2 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-606774,-181917825] |
[a1,a2,a3,a4,a6] |
Generators |
[36402056929238:-2431274318802601:8024024008] |
Generators of the group modulo torsion |
j |
166892811270193/59606133 |
j-invariant |
L |
4.0572827110547 |
L(r)(E,1)/r! |
Ω |
0.17106143810963 |
Real period |
R |
23.718277968004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999318852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899d3 |
Quadratic twists by: -23 |